# Math - intersection of planes

134,567 results

### Vectors

which is not a possible type of intersection between three planes? a) intersection at a point b) three coincident planes c) intersection along a line d) intersection along a line segment I know that planes can intersect in a line but I don't know which of c and d would be the ...

### 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

### 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...

### 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) ...

### 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.

### Calculus

Consider the following planes. 5x − 4y + z = 1, 4x + y − 5z = 5 a) Find parametric equations for the line of intersection of the planes. b) Find the angle between the planes

### 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?

### 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. ...

### 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 ...

### 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...

### 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...

### math

a vector parallel to the line of intersection of the planes. x-2y-z=6 and 3x-y+z=4 the answer is <3,4,-5> so first, I took the cross product of <1,-2,-1> and <3,-1,1> which I think is v. in the equation p0 + tv. << this is the equation for the line of ...

### 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?

### Geometry (math)

Identify 2 planes in a triangular prism that intersect.Name their intersection

### Geometry (math)

Identify 2 planes in a triangular prism that intersect.Name their intersection

### Vectors

What is the nature of intersection of these three planes: 5x+3y-z=11 -2x-7y+10z=2 6x+21y-30z=-6 I know that the answer is two parallel planes and the other one intersecting in a line. my question is how would you know that the first equation intersects in a line? Would you use...

### 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...

### 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...

### 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 ...

### 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 ...

### 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 ...

### Geometry

The intersection of two planes

### Math

1. Plane hkp and plane rkp are two distinct planes. name the intersection of the plane hkp and plane rkp. A) Ray KP B) Ray HK C) Ray RP D) The planes need not intersect. Is the answer A? Please correct me if I am wrong. Thank you!

### geometryy

the intersection of two distinct planes can be a _ or a _?

### geomtry

when two planes intersect, their intersection is a:

### 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=

### 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 $ ...

### 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 $ ...

### 9th grade

what does it mean to name the intersection of the planes in a triangular prism

### 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!

### 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.

### 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?

### math

Hi I wanted to check my work for this problem. Consider the points A(1,0,0) B(2,2,2) and C(0,2,1). 1) Find the vector CA x CB I got -2i -3j +4k for this 2) Find an exact value for the area of the triangle ABC. I got sqrt29/2 for this. 3) Plane II(1) is 2x+3y-4z=2. A second ...

### Math

1. Name the intersection of plane ACG and plane BCG. A. AC B. BG C. CG D. The planes need not intersect. Is the answer C? this is hard for me since there isn't a picture. Thank you!

### Vectors

To answer this I would just sub in the x and y values right? I got a) as my answer since it equals 0. Which of the following would describe the sketch of the expression xy+2y-3x-6=0 a) the planes x=-2 and y=3 b) the planes x=3 and y=-2 c) the planes x=6 and y=2 d) the planes x...

### 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

### 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...

### 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 ...

### 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

### 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 ...

### 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)

### calculus and vectors

Determine an equation of the line of intersection of the planes 4x − 3y − z = 1 and 2x + 4y + z = 5.

### 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

### 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

### Finite Math

Let A and B be two events in a sample space S such that P(A) = 0.5, P(B) = 0.6, and P(A intersection B) = 0.15. Find the probabilities below. Hint: (A intersection Bc) union (A intersection B) = A. (a) P(A|Bc) ________ (b) P(B|Ac) ________

### Physics

A Boeing 747 "Jumbo Jet" has a length of 55.9 m. The runway on which the plane lands intersects another runway. The width of the intersection is 24.0 m. The plane decelerates through the intersection at a rate of 5.61 m/s2 and clears it with a final speed of 43.3 m/s. How much...

### 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 ...

### 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.

### 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...

### 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 ...

### 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 ...

### 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.

### 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?

### 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

### Trigonometry

Two planes are flying at the height of 10-km. They are going at the same speed, and both traveling due north. If the planes are 3,000 km apart as measured along the surface of the earth, what angle do the lines from the planes make to the center of the Earth make?

### 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

### Math

Two planes leave New Orleans at the same time. Plane A heads north and Plane B heads south. After 4 hours and 15 minutes, the two planes are 4568.75 miles apart. Also, Plane A is traveling 53 mph faster than Plane B. At what speeds are the two planes traveling at? How far did ...

### 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)...

### 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.

### 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)...

### 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 ...

### 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 ...

### 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?

### Calculus

Determine the intersection, if any, of the planes with equations x + y - z + 12 = 0 and 2x + 4y - 3z + 8 = 0. I have no clue where to even begin. If someone could help and give me the steps to complete it, that would be greatly appreciated. Do I have to first simplify the ...

### Calculus

Determine the intersection, if any, of the planes with equations x + y - z + 12 = 0 and 2x + 4y - 3z + 8 = 0. I have no clue where to even begin. If someone could help and give me the steps to complete it, that would be greatly appreciated. Do I have to first simplify the ...

### Geometry

Planes A and B are both perpendicular to line M. What is the relationship between planes A and B?

### 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?

### algebra

Two planes left simultaneously from the same airport and headed in the same direction towards another airport 1800 km away. The speed of one of the planes was 100 km/hour slower than the speed of the other plane, and so it arrived at its destination 36 minutes after the faster...

### Analytic Geometry

Given two planes, discuss the methods used to determine if the planes are parallel, perpendicular, coincident, or none of these.

### 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.

### 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? (...

### 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...

### 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 ...

### 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.

### 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) ...

### Geometry

plane hkp and plane rkp are 2 distinct planes. Name the intersection of plane hkp and rkp my answer is line kp

### calculus

One bicycle is east of an intersection , and it is travelling towards the intersection of 9 miles per hour. at the same time a second bicycle is south of the intersection , and it is travelling away from the intersection at the rate of 10 miles per hour. Is the distance ...

### 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 ...

### 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...

### 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...

### 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...

### 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...

### Physics

You're approaching an intersection at 50 km/h (13.9 m/s ). You see the light turn yellow when you're 35 m from the intersection. Assume a reaction time of 0.6 s before braking begins and a braking acceleration of -3.0 m/s2. A) will you be able to stop at before the ...

### 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.

### Gwu

If a train offers 12 intersection of town with every intersection is .75 miles apart in the train travels 2 miles per hour in Spanish 45 seconds at every stop to unload customers how long will it take to get the first intersection to the last

### 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 ...

### 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) ...

### 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 ...

### 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...

### 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...

### 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.

### Math

When graphing two linear equations, what is the significance of the intersection of the two graphs, and if there is no intersection?

### 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 ...

### 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 through the intersection at a rate of 5.70 m/s^2 and clears it with...

### 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 ...

### 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?

### 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 25.0 m. The plane decelerates through the intersection at a rate of 5.0 m/s2 and clears it with a final speed of 29 m/s. How much ...

### 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 ...

### 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 ...