Sunday

October 26, 2014

October 26, 2014

Number of results: 94,821

**Math - intersection of planes**

You are given the following two planes: x+4y-3z-12=0 x+6y-2z-22=0 a) Determine if the planes are parallel b) Fine the line of intersection of the two
*September 6, 2010 by Shaila*

**Math - Intersection of planes**

Find the vector equation of the line of intersection for the pair of planes. Plane one: x+5y-3z-8=0 Plane two: y+2z-4=0 I did half of the work but now i am stuck. the normal of the planes are not parallel and therefore a solution exists, you simultaneously solve the equations...
*September 1, 2010 by Shaila*

**Math - intersection of planes**

You are given the following two planes: x+4y-3z-12=0 x+6y-2z-22=0 a) Determine if the planes are parallel b) Fine the line of intersection of the two planes. c) Use the two original equations to determine two other equations that have the same solution as the original two. d) ...
*September 4, 2010 by Shaila*

**Calc.**

Determine the interaction of the line of intersection of the planes x + y - z = 1 and 3x + y + z = 3 with the line of intersection of the planes 2x - y + 2z = 4 and 2x + 2y + z = 1.
*July 10, 2008 by Derek*

**Algebra 2...**

On isometric dot paper, graph the system of equations at right. What shape is their intersection? Use color to show the intersection clearly on your graph. 10x + 6y + 5z = 30 6x + 15y + 5z = 30 Is the intersection where the two planes OVERLAP?
*March 9, 2013 by Anonymous*

**Calculus**

Consider the planes given by the equations 2y−2x−z=2 x−2y+3z=7 (a) Find a vector v parallel to the line of intersection of the planes. (b)Find the equation of a plane through the origin which is perpendicular to the line of intersection of these two planes. ...
*October 1, 2012 by Felicia*

**Linear Algebra 2**

This is another question I can't figure out. Given planes pie1 and pie2 defined as: pie1: 2x + 5y - 7x + 2 = 0 pie2: x + y - z + 3 = 0 (b) Give the equation of the line of intersection of these two planes. I only found the answer for (a) where they ask to find the angle ...
*September 9, 2012 by Robert*

**Math**

Determine whether the following statements are always,sometime, or never true.Explain 1.Three points determine a plane. 2.The intersection of two planes can be a point. 1.Never true, the three points must be noncollinear. 2.Never true, the intersection of two planes is a line...
*October 6, 2010 by Shadow*

**Calculus**

Use normal vectors to determine the intersection, if any, for each of the following groups of three planes. Give a geometric interpretation in each case and the number of solutions for the corresponding linear system of equations. If the planes intersect in a line, determine a...
*July 9, 2008 by Nicole*

**Geometry (math)**

Identify 2 planes in a triangular prism that intersect.Name their intersection
*November 18, 2013 by Naila dar*

**Geometry (math)**

Identify 2 planes in a triangular prism that intersect.Name their intersection
*November 18, 2013 by Naila dar*

**Calc**

When you are solving for the point of intersection between planes do you follow the same steps when solve for the point of intersection between lines?
*October 17, 2010 by C*

**Calc.**

Use normal vectors to determine the intersection, if any, for each of the following groups of three planes. Give a geometric interpretation in each case and the number of solutions for the corresponding linear system of equations. If the planes intersect in a line, determine a...
*July 9, 2008 by Derek*

**Calc.**

Use normal vectors to determine the intersection, if any, for each of the following groups of three planes. Give a geometric interpretation in each case and the number of solutions for the corresponding linear system of equations. If the planes intersect in a line, determine a...
*July 9, 2008 by Derek*

**Calc**

Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 427 knots (nautical miles per hour; a nautical mile is 2000 yd or 6000 ft.) Plane B is ...
*October 1, 2013 by Anonymous*

**Calc**

Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 427 knots (nautical miles per hour; a nautical mile is 2000 yd or 6000 ft.) Plane B is ...
*October 1, 2013 by Anonymous*

**calculus**

Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 429 knots (nautical miles per hour; a nautical mile is 2000 yd or 6000 ft.) Plane B is ...
*September 27, 2012 by Avi*

**Geometry**

The intersection of two planes
*September 29, 2007 by Anonymous*

**geometryy**

the intersection of two distinct planes can be a _ or a _?
*September 13, 2010 by cassie*

**geomtry**

when two planes intersect, their intersection is a:
*September 19, 2011 by jay*

**Math**

Find parametric equations and symmetric equations for the line of intersection of the given planes. x + y + z = 2, x + z = 0 X=1 y = Z= x=, y=
*April 13, 2010 by Mike*

**Math**

Three planes: x+y-2z=1 2x+z=y-4 -3x-y+z=-2 They intersect at: (a) (-2/5,5,9/5) (b) no common intersection (c) r=(5/3,-2/3,0)+&(1,5,3) (d) r=(0,-4,-5)+%(1,5,3) &/%=signs like alpha and beta, used in vector eqns Please help! I just can't get the answer to be/ressemble any of them!
*March 11, 2010 by Anonymous*

**math linear alegba**

Find the distance from the point (1, 1, 1) to the line given as the intersection of planes x+2y− 2z = 5 and 6x − 3y + 2z = 8.
*March 4, 2013 by liam*

**9th grade**

what does it mean to name the intersection of the planes in a triangular prism
*August 31, 2010 by bob*

**Vectors**

3 planes; $: x+2y-2z-6=0 %: 2x-y+z+8=0 £: 2x-y+2z+3=0 (a)(i)Find the cartesian equation for the plane @ parallel to $ and containing the point (1,1,2) (ii)Calculate the distance between $ and @ (b)(i)Find the parametric equations for the line of intersection of the planes $ ...
*April 25, 2010 by Anonymous*

**vectors**

3 planes; $: x+2y-2z-6=0 %: 2x-y+z+8=0 £: 2x-y+2z+3=0 (a)(i)Find the cartesian equation for the plane @ parallel to $ and containing the point (1,1,2) (ii)Calculate the distance between $ and @ (b)(i)Find the parametric equations for the line of intersection of the planes $ ...
*April 25, 2010 by Anonymous*

**math**

set operations A^c = (A complement) B^c = (B complement) A^c intersection B^c intersection C no parenthesis :// do i get the intersection of all three or get the intersection of A^c and B^c first?
*June 26, 2011 by rose*

**Calculus Grade 12**

Find the equation of the plane that passes through the point (3,7,-1) and is perpendicular to the line of intersection of the planes x-y-2z+3=0 and 3x-2y+z+5=0
*June 10, 2013 by Amber*

**Math**

Perry draws two planes, K and L, as shown. Which statement is true? Plane K and plane L contain four lines because a theorem states that a line extends on both sides of a plane. Plane K and plane L intersect along a line because a postulate states that if two planes intersect...
*October 2, 2012 by Lisa*

**Math**

Determine if it is always sometimes never or always true - ray LJ and ray TJ are opposite rays -the intersection of two planes is a point
*September 12, 2011 by Casey*

**Math - Intersection of planes**

You are given the following two planes: x+4y-3z-12=0 x+6y-2z-22=0 a) Use the two original equations to determine two other equations that have the same solution as the original two. ANS: the orginal two are not parallel in anyway so can I just take multiples of the original ...
*September 15, 2010 by Shaila*

**Math - Intersection of planes**

You are given the following two planes: x+4y-3z-12=0 x+6y-2z-22=0 a) Use the two original equations to determine two other equations that have the same solution as the original two. ANS: the original two are not parallel in anyway so can I just take multiples of the original ...
*September 20, 2010 by Shaila*

**Math! Please check!**

Name the intersection of planes ADE and BEA. A- plane BED B- plane ABC C- line BD D- line AE My choice is D. (Sorry that I could not post an image)
*October 8, 2014 by Skye*

**calculus and vectors**

Determine an equation of the line of intersection of the planes 4x − 3y − z = 1 and 2x + 4y + z = 5.
*April 1, 2014 by anon*

**Calculus**

Find the vector equation of the line that passes through the point (2,-1,7) and is parallel to the line of intersection of the planes x + 2y - 3z = -6 and 3x - y + 2z = 4
*May 6, 2012 by J*

**Calculus**

Find the vector equation of the line that passes through the point (2,-1,7) and is parallel to the line of intersection of the planes x + 2y - 3z = -6 and 3x - y + 2z = 4
*May 7, 2012 by J*

**maths - geometry**

In a space with an orthonormal coordinate system consider the plane; &: 4x-3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections???) (ii)Find the parametric equations for the line of intersection of the ...
*April 28, 2010 by Anonymous*

**geometry**

Can lines and planes intersect with each other? Yes. Consider a line perpendicular to your screen on your display you are looking at....the intersection is a point in the plane on the line.
*August 19, 2006 by Nobody*

**Math: Scalar Equations of a Plane**

Find the scalar equation of each of the following planes. State which of the planes, if any, are coincident. a) r = (-8,-1,8) + s(-5,1,4) + t(3,2,-4) Scalar Equation: -12x - 8y - 13z = 0 ---- b) r = (-2,-2,5) + s(3,1,-1) + t(4,1,-4) Scalar Equation: -3x + 8y - z + 15 = 0...
*March 27, 2008 by Anonymous*

**Math- intersection of planes**

Show that the line [x,y,z]=[10,5,16]+t[3,1,5] is contained in the plane x+2y-z-4=0 I tries writing the vector equation in parametric form and then substituting it into the respective x,y,z in the plane, after simplifying I get 0t=0 does this mean that the line is in the plane ...
*September 1, 2010 by Shaila*

**Math(Calculus)**

Ok I have a bunch of questions, please bare with me and i'd appreciate it VERY much if you could help me with these! 1. Assume that you are given the equations of three planes. Without solving the system, describe a "test" with rationale, that you could use to determine ...
*August 11, 2010 by rick*

**Math-Linear Systems**

Determine the point of intersection. (a) y = 4x + 6 y = -x + 1 (b) 2x + 5y = 10 x = 10 Please show how to get the point of intersection. thoroughly explain how to get point of intersection.
*June 14, 2009 by Sideshow*

**Business Cal.**

Suppose the marginal revenue (in dollars) from the sale of x jet planes is R'(x)=2x(x^2+50)^2 A. Find the total revenue function if the revenue from 3 planes is $206,379. B. How many planes must be sold for revenue of at least $450,000?
*December 4, 2006 by David*

**Geometry**

Determine if it is always sometimes never or always true - ray LJ and ray TJ are opposite rays -the intersection of two planes is a point
*September 12, 2011 by Casey*

**Math**

Find the intersection. {2,5,7,10} and {3,6,9}. I think that the intersection is a empty set. Is this correct? Thanks.
*April 7, 2010 by B.B.*

**Calculus**

Find an equation of the plane. The plane that passes through the point (−1, 2, 1)and contains the line of intersection of the planes x + y − z = 4 and 4x − y + 5z = 4
*January 31, 2014 by john*

**Calculus**

Find the parametric equations for the line of intersection of the planes x+y+z=3 and x-y+2z=2 I took the cross product of the 2 equations and got 3i-j-2k I then set z=0 and got x=5/2 and y=1/2. I got: x=5/2 +3t y=1/2-t z=-2t However, the answers are supposed to be: x=5/2-(3/2)...
*December 4, 2012 by Mackenzie*

**Math**

A car is heading east toward an intersection at the rate of 40 mph. A truck is heading south, away from the same intersection at the rate of 60 mph. At what rate is the distance between the car and the truck changing when the car is 8 miles from the intersection and the truck ...
*July 31, 2011 by eve*

**Math**

A car is heading east toward an intersection at the rate of 40 mph. A truck is heading south, away from the same intersection at the rate of 60 mph. At what rate is the distance between the car and the truck changing when the car is 8 miles from the intersection and the truck ...
*July 31, 2011 by eve*

**Calculus**

Find the parametric equations for the line of intersection of the planes x+y+z=3 and x-y+2z=2 I took the cross product of the 2 equations and got 3i-j-2k I then set z=0 and got x=5/2 and y=1/2. I got: x=5/2 +3t y=1/2-t z=-2t However, the answers are supposed to be: x=5/2-(3/2)...
*December 4, 2012 by Mackenzie*

**calculas**

caluclas (intersection of three planes) HELP!!!? in the equations k is a real number 1.x-2y+z=4 2.x-y-z=3 3.x+y+kz=1 for what values of k does the system 1.have exactly one solution? 2.have an in finite number of solution?
*March 27, 2011 by ram*

**Geometry**

Planes A and B are both perpendicular to line M. What is the relationship between planes A and B?
*April 12, 2010 by ross*

**Math- How many points of intersection are there? **

Let x1, x2,..., x20 be distinct points on the x-axis and let y1, y2,...,y13 be distinct points on the y-axis. For each pair xi, yi, draw the segment connecting xi yo y1. Assume that no three of these segments intersect in one point. How many points of intersection are there...
*January 23, 2013 by Thank You*

**math**

Two planes depart from the same airport at the same time. One hour later one of the planes is 480 miles due north of the airport and the other plane is 550 miles due east of the airport. At that time, what is the distance between the two planes?
*March 1, 2011 by Lo*

**math**

there are 1170 students and all need to go on a trip. they will be flying on 138 seat planes. hm planes are neded to transport all the students.
*September 26, 2011 by john*

**Analytic Geometry**

Given two planes, discuss the methods used to determine if the planes are parallel, perpendicular, coincident, or none of these.
*May 10, 2012 by kelsey*

**Anonymous**

Give the exact intersection point for the equations f(x)=4sin^2x+7sinx+6 and g(x)=2cos^2x-4sinx+11 Ok, my result is that there is no intersection point because if you put f(x)=g(x) and try to solve for x or the intersection point, the LS f(x) is not possible, so there is none...
*May 8, 2009 by trig*

**Math**

Find the point of intersection between y=2-(1/2)x and y=1+ax. (a=alpha sign). You answer will be a point in the xy plane whose coordinates involve the unknown a . I got that which is x=2/(2a+1), y=(1+2a)/(2a+1) <-intersection point I need help is to: Find a (a=alpha sign) ...
*October 9, 2009 by SC*

**Math**

Two small planes start from the same point and fly in the opposite directions. The first plane is flying 35 mph slower than the second plane. In 2 hrs, the planes are 530 mi apart. Find the rate of the slow plane.
*February 3, 2010 by Matthew*

**Pre Calc**

A plane (A) heading south at 120 mph and a plane (B) heading west at 600 mph are rlying tword the same point at the same altitude. Plane A is 100 miles from the point where the flight patterns intersect and plane B is 550 miles from there. A) Find the parametric equation that ...
*May 7, 2013 by Rebekah*

**Calculus Maxima/Minima**

An automobile traveling at the rate of 30 ft/sec is approaching an intersection. When the automobile is 120 ft. from the intersection, a truck, traveling at the rate of 40 ft/sec on a road at right angles with the automobile’s road crosses the intersection. How long after the ...
*September 28, 2014 by Mike*

**math**

weloo Consider the two parabolas :y1=2x^2-3x-1 and y2=x^2+7x+20. (a) Find the points of intersection of the parabolas and decide which one is greater than the other between the intersection points. (b) Compute the area enclosed by the two parabolas. (c) Use Mathcad to draw the...
*May 8, 2012 by weloo_volley*

**math**

hilp meeee trying .... Consider the two parabolas :y1=2x^2-3x-1 and y2=x^2+7x+20. (a) Find the points of intersection of the parabolas and decide which one is greater than the other between the intersection points. (b) Compute the area enclosed by the two parabolas. (c) Use ...
*April 24, 2012 by weloo_volley*

**math**

hilp meeee trying .... Consider the two parabolas :y1=2x^2-3x-1 and y2=x^2+7x+20. (a) Find the points of intersection of the parabolas and decide which one is greater than the other between the intersection points. (b) Compute the area enclosed by the two parabolas. (c) Use ...
*April 30, 2012 by weloo_volley*

**Math**

When graphing two linear equations, what is the significance of the intersection of the two graphs, and if there is no intersection?
*March 18, 2010 by Mark*

**physics**

A Boeing 747 "Jumbo Jet" has a length of 59.7 m. The runway on which the plane lands intersects another runway. The width of the intersection is 21.3 m. The plane decelerates through the intersection at a rate of 5.33 m/s2 and clears it with a final speed of 38.3 m/s. How ...
*February 7, 2011 by shaknocka*

**physics**

A Boeing 747 "Jumbo Jet" has a length of 59.7 m. The runway on which the plane lands intersects another runway. The width of the intersection is 21.3 m. The plane decelerates through the intersection at a rate of 5.33 m/s2 and clears it with a final speed of 38.3 m/s. How ...
*February 7, 2011 by shaknocka*

**physics**

A Boeing 747 "Jumbo Jet" has a length of 59.7 m. The runway on which the plane lands intersects another runway. The width of the intersection is 21.3 m. The plane decelerates through the intersection at a rate of 5.33 m/s2 and clears it with a final speed of 38.3 m/s. How much...
*February 23, 2011 by tish*

**Math**

Two small planes start from the same point and fly in the same direction. The first plane is flying 35 mph slower than the second plane. In 2 hrs, the planes are 530 mi apart. Find the rate of the slow plane.
*February 4, 2010 by Mathew*

**physics**

You are driving to the grocery store at 20 m/s. You are 110 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.70 s and that your car brakes with constant acceleration. How far are you from the intersection when you begin to apply the ...
*September 15, 2014 by chidimma*

**Physics**

A Boeing 747 "Jumbo Jet" has a length of 59.7m. The runway on which the plane lands intersects another runway. The width of the intersection is 25.0m. The plane decelerates through the intersection at a rate of 5.7 m/s(squared) and clears it with a final speed of 45.0 m/s. How...
*February 20, 2011 by CR*

**FREE BODY DIAGRAM calculus**

A car is traveling north towards an intersection at 60mph at the same time a truck is headed east toward the same intersection at 45mph. Find the rate of change of the distance between the car and truck when the car is 3 miles south of the intersection and the truck is 4 miles...
*October 7, 2012 by erica*

**Social Studies**

how many war planes created in 1943 http://www.acepilots.com/planes/main.html This site should give you the information you need.
*May 7, 2007 by debbie*

**math**

Chester builds and collects models of boats and planes. He has 22 models all together chester has 8 more planes than he has boats. How many of each kind of model does he have?
*October 15, 2012 by lesley*

**University Physics**

Consider this traffic problem that is played out in many communities everyday! A car is cruising down the highway of life @ 25m/s in a 3-m long compact car when he comes upon an intersection with a stop sign. At the instant that he is 45 m away from the entrance to the ...
*February 12, 2013 by Amy*

**college - physics**

was wondering if someone can help me out. Question: a jet has a length of 59.7 meters. The runway on which the plane lands intersects another runway. The width of the intersection is 25m. the plane decelerates thru the intersection at a rate of 5.70 m/s^2 and clears it with a ...
*October 5, 2008 by ksunhsine*

**economics**

After 17 vehicular accidents two years ago in a given intersection, the mayor of Boulder proposed to reduce the number of crashes by making improvements at the intersection. Assuming the appropriate CRF is 0.53, what will be the reduction in number of crashes at that ...
*February 10, 2014 by john*

**math**

chester builds and collects models of boats and planes. He has 22 models altogether. Chester has 8 more planes than he does boats. How many of each kind of model does he have?
*October 18, 2012 by Anonymous*

**math**

Chester builds and collects models of boats and planes. He has 22 models altogether. Chester has 8 more planes than he does boats. How many of each kind of model does he have?
*October 10, 2014 by Anonymous*

**Physics**

You are driving to the grocery store at 14.8 m/s. You are 140.0 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.440 s and that your car brakes with constant acceleration. You are 133 m from the intersection when you begin to apply ...
*October 6, 2010 by Emily*

**Physics**

You are driving to the grocery store at 14.8 m/s. You are 140.0 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.440 s and that your car brakes with constant acceleration. You are 133 m from the intersection when you begin to apply ...
*October 6, 2010 by Emily*

**Physics**

You are driving to the grocery store at 14.8 m/s. You are 140.0 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.440 s and that your car brakes with constant acceleration. You are 133 m from the intersection when you begin to apply ...
*October 6, 2010 by Emily*

**Physics**

You are driving to the grocery store at 11.9m/s. You are 169.0m from an intersection when the traffic light turns red. Assume that your reaction time is 0.730s and that your car brakes with constant acceleration. How far are you from the intersection when you begin to apply ...
*September 26, 2012 by Sarah*

**AP CALC**

Two roads intersect at right angles. At a certain moment, one bicyclist is 8 miles due NORTH of the intersection traveling TOWARDS the intersection at a rate of 16 miles/hour. A second bicyclist is 10 miles due WEST of the intersection traveling AWAY from the intersection at ...
*November 6, 2010 by Nel*

**math**

A. Describe the different types of symmetry and axes of symmetry of a regular octahedron. B. How many planes and axes of symmetry does a regualr octahedron have? For B I know that it has 5 planes but I do not know the rest can anyone shed some light?
*January 29, 2010 by Rmz*

**Math**

Please help me.... Two cars are starting from positions that are 20 miles apart. They are both headed for the same intersection, as depicted in the diagram below. Car A is traveling at 30 mph, and Car B is traveling at 45 mph. Which car will reach the intersection first? 1. ...
*January 8, 2014 by Lizzie098*

**Geometry Honors (p.2)**

Two planes that lie in parallel planes are ________. Answers: Always, Never, or Sometimes I'm having some trouble on this one... I think it's sometimes...?
*August 30, 2012 by IB student*

**physics**

You are driving to the grocery store at 12.2 m/s. You are 193.0 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.790 s and that your car brakes with constant acceleration. How far are you from the intersection when you begin to apply...
*October 8, 2008 by Vishnu*

**Math**

Find the intersection point. 3x+2y = 3 2x+10y = -5 I put them into y=mx+b form and got y=-3/2 + 3/2 y=1/5x - 1/2 I can't seem to find the intersection point by graphing it either, since it won't be accurate.
*September 8, 2012 by Vanessa*

**Physics**

You are driving to the grocery store at 20 m/s . You are 110m from an intersection when the traffic light turns red. Assume that your reaction time is 0.50s and that your car brakes with constant acceleration. _ How far are you from the intersection when you begin to apply the...
*August 25, 2008 by Angie*

**Calculus**

A car leaves an intersection traveling west. Its position 5 sec later is 22 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position 5 sec later is 27 ft from the intersection. If the speed of the cars at that ...
*June 13, 2013 by Mike*

**Math**

1170 students are going on trip. they are flying on 138 seat planes. all students must go and all must be seated. how many planes are needed to transport all of the students ?
*September 26, 2011 by John*

**PC Training & Business College**

if 14 accidents can be expected at a certain intersection per week, what is the probability that there will be 3 accident at the intersection on a given day
*May 5, 2011 by Halalisanio*

**math ASAP**

Find the point of intersection L1: r(t)= (-5 + 3t)i + (1+t)j L2= r(s) = (1+2s)i + (5-6s)j I know they are perpendicular, and the system of equations I think is t= 4/5 s =8/5 so how do I find the point of intersection
*September 14, 2013 by christina*

**Math**

On a radar screen the distance between two planes is 3 1/2 inches. If the scale is 1 inch on the screen to 2 miles in the air, what is the actual distance between the two planes. Please help! thank you. Do I use x represent a distance. I'm stuck. Help!!!
*March 5, 2008 by Plse Help*

**Physics**

A 15.0 m long truck traveling at 40.0 mph has a braking capability of 5.00 m/s2 from this speed. It is approaching a 10.0-m wide intersection with a traffic light that is turning yellow. (a) What is the minimum distance the truck can be from the intersection if the truck is to...
*January 23, 2013 by Help Me*

**math**

A company sells model cars, trucks, planes, and boats. Before shipping 18,000 of each product a sample of each is tested. Predict how many of each model are defective given the following results. of 750 cars, 25 are flawed_________________ of 800 trucks, 4 are ...
*May 13, 2010 by Cassie*

**Linear Algebra**

1. Considering 2 planes with equations: x + 2y - 3z = 1 x + 2y - 3z = 18 (a) Given (a,b,c) a point on the first plane, find the point where the line perpendicular to both planes passes by (a,b,c) and through the 2nd plane.
*October 10, 2012 by Ben*

**Linear Algebra**

1. Considering 2 planes with equations: x + 2y - 3z = 1 x + 2y - 3z = 18 (a) Given (a,b,c) a point on the first plane, find the point where the line perpendicular to both planes passes by (a,b,c) and through the 2nd plane.
*October 10, 2012 by Ben*

**Math**

Find the number of elements in A1∪A2∪A3, supposing that there are 103 elements in A1, 992 elements in A2, 10011 elements in A3, in each of the following situations: (a) The sets are pairwise disjoint, that is, no pair has common elements, that is, the intersection ...
*March 30, 2014 by Connor*

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