Wednesday

July 29, 2015

July 29, 2015

Number of results: 108,779

**Math - Product Dot Vectors**

How would you expand and simplify the following equation? "(3a + 4b) product dot (5a + 6b)" Textbook answer: 15| a |^2 + 38a product dot b + 24| b |^2
*February 21, 2008 by Anonymous*

**Vectors: Dot product**

Given a and b unit vectors if |a+b|=square root 3, determine (2a-5b)dot(b+3a) First I foiled the whole thing: =2(a dot b)+ 6 (a dot a) - 5(b dpt b) -15(a dot b) =-13(a dot b) + 6(a dot a) - 5(b dot b) =-13(1)(1)+6-5 =-13+1 =-12 Textbook answer is -11/2 I don't know how to ...
*February 7, 2015 by MathHelp*

**dot product of vecotrs**

Question: Find (3a+b)dot(2b-4a) if a=-i-3j+k and b=2i+4j-5k I did: =3(-1,-3,1)+(2,4,-5)dot 2(2,4,-5)-4(-1,-3,1) =(-3,-9,3)+(2,4,-5)dot(4,8,-10)-(4+12,-4) =(-1,-5,-2)dot(0,-4,-6) =(0,20,12) =0+20+12 =32 The text book answer is -80. What did I do wrong/
*February 7, 2015 by annonymous*

**Calculus - Dot Product**

consider a rhombus ABCD a) find the resultant of vector AB + vector AD and vector AB - vector AD? (cosine rule) b) What will be the value of the dot product of vector AB + vector AD and vector AB - vector AD always be? (always zero) c) Is this value of the dot product of ...
*August 9, 2010 by Shaila*

**Math - Vectors**

If "u = (2,2,-1)", "v = (3,-1,0)" and "w = (1,7,8)", verify that "u (dot) (v + w) = u (dot) v + u (dot) w". My work: LHS: u (dot) (v + w) = (2,2,-1) (dot) (4,6,8) = [(2,2,-1) (dot) (3,-1,0)] + [(2,2,-1) (dot) (1,7,8)] = [u (dot) v] + [u (dot) w] Therefore, LHS = RHS Did I ...
*February 26, 2008 by Anonymous*

**Math: Cross Product**

Prove that | a x b | = (sqrt) [(a (dot) b)(b (dot) b) - (a (dot) b)^2]
*February 27, 2008 by Anonymous*

**Vectprs and Scalars**

Why are some of these scalars and others are vectors? What's the difference and how can you tell? 1. a dot (b x c) 2. (a dot b) x (b dot c) 3. (a + b) dot c 4. a x (b dot c) 5. (a x b) dot (b x c) 6. (a + b) x c 7. a dot (b dot c) 8. (a x b) + (b x c) 9. (a x b) - c 10. a x (b...
*February 9, 2015 by annonymous*

**linear algebra**

show that if u (dot) v = 0 for all vectors v, then u = 0. One of the Axioms an inner product has to satisfy is: x dot x >=0 where equality only holds if x = 0 So, in your problem you take the special case v = u. Then: u dot u = 0 ----> u = 0
*July 16, 2007 by chris*

**Math**

Hi! Can someone help me with these? Thanks a bunch! :) 1.) Find the dot product. <0, 3> ∙ <4, -2> 2.) Find the dot product of u and v. u = <-4, 1> v = <2, -3>
*February 19, 2015 by Heather*

**Math**

Hi! Can someone help me with these? Thanks a bunch! :) 1.) Find the dot product. <0, 3> ∙ <4, -2> 2.) Find the dot product of u and v. u = <-4, 1> v = <2, -3>
*February 20, 2015 by Heather*

**Mathematics - Dot Product**

Consider rhombus ABCD a) Find the resultants of vector AB + vector AD and vector AB - vector AD b) What will the value of (vector AB + vector AD) dot product (vector AB - vector AD) always be? Explain. c) Is the value of (vector AB + vector AD) dot product (vector AB - vector ...
*August 20, 2010 by Suhani*

**physics**

A uniform electric field of magnitude 250 V/m is directed in the positive x direction. A +12.0-ěC charge moves from the origin to the point (x, y) = (20.0 cm, 50.0 cm). (a) What is the change in the potential energy of the charge–field system? (b) Through what potential ...
*April 30, 2007 by sammy*

**calculus**

Find two unit vectors that make an angle of 60° with v = ‹3, 4›. Give your answers correct to three decimal places. I'm not sure what to do here; I believe that I use to definition of a dot product (or maybe cross product) with relation to the trig function (cos for dot, sin ...
*August 24, 2011 by angles*

**Physics/Math**

A force F = (4.0 N)i + cj acts on a particle as the particle goes through displacement d = (3.4 m)i - (2.0 m)j. (Other forces also act on the particle.) What is the value of c if the work done on the particle by force F is each of the following? (a) zero (b) 19 J (c) -17 J ...
*March 1, 2007 by Technoboi11*

**Dot Product**

Verify using an example that Vector a • (Vector b • Vector c) = (Vector a • Vector b) • Vector c is not true. Explain your reasoning both numerically and by using the definition of the dot product. I am very confused as to what this means?! Thanks for the assistance.
*July 1, 2008 by Putnam*

**Physics/Math**

What work is done by a force (in newtons) F = 3.1xi + 3.1j, with x in meters, that moves a particle from a position r1 = 2.1i + 2.5j to r2 = - -4.9i -3.9j? Work is the dot product of Force and displacement. Change in displacement is r2 minus r1. I will be happy to critique ...
*March 1, 2007 by Technoboi11*

**Physics**

Use the definition of scalar product( vector A* vector B = abcos theda and the fact that vector A * vector B = axbx+ ayby+azbz to calculate the angle between the two vectorgiven by vector A= 3i + 3j + 3k and vector B= 2i + 1j + 3k. The book said the answer is 22 degreess but I...
*October 6, 2006 by Jamie*

**Math **

Graph the inequality:x</=-2 A. <-6,-4,-2,0,2,4,6> The dot is on the -2 going to 6 and it's a filled dot. B. <-6,-4,-2,0,2,4,6> The dot is on the -2 going to -6 and its a filled dot. C. <-6,-4,-2,0,2,4,6> The dot is on the -2 going to -6 it's a unfilled ...
*September 19, 2014 by Gwen*

**math**

Graph the inequality:x</=-2 A. <-6,-4,-2,0,2,4,6> The dot is on the -2 going to 6 and it's a filled dot. B. <-6,-4,-2,0,2,4,6> The dot is on the -2 going to -6 and its a filled dot. C. <-6,-4,-2,0,2,4,6> The dot is on the -2 going to -6 it's a unfilled ...
*September 19, 2014 by Gwen*

**Science**

Which of the following brake fluids is a strong paint solvent? DOT 1 DOT 2 DOT 3 DOT 5
*September 12, 2012 by Vicky*

**Calculus**

Two force vectors act on an object and the dot product of the two vectors is 20. If both of the force vectors are doubled in magnitude, what is their new dot product?
*March 29, 2012 by Jake*

**Math**

a) prove the identity: Ax(BXC)=B(A*C)-C(A*B) A,B,C vectors x- cross product *-dot product b) use part a) to prove that cross product is not associative.
*October 31, 2014 by larry*

**general math**

here's an easy one for starters... what means greater or equal to on a number line, a closed dot or an open dot? open dot. it is a closed dot, 1000% sure!!!!!!!!!
*February 11, 2007 by Shay*

**Vector Calculus**

2. Use the properties of the dot product to show that (⃗b·⃗c)a−(⃗a·⃗c)⃗b is perpendicular to ⃗c. Must be shown for arbitrary vectors. Im sorry, I'm really stuck on this. I know that is a vector is perpendicular to another their dot ...
*January 30, 2012 by Lizz*

**linear algebra**

show that if u dot v = u dot w for all u, then v = w. You can use the result of the previous problem: http://www.jiskha.com/display.cgi?id=1184622247 Linearity of the inner product implies u dot v = u dot w -----> u dot(v-w) = 0 This is true for all u, therefore the result ...
*July 17, 2007 by chris*

**Vector Cross & Dot Product**

Given vector a=(2,1,0)and vector b=(-1,0,3) and vector c=(4,-1,1), calculate the following triple scalar and triple vector products. 1. c x a dot b What I did: c x a = ((-1)(0)-(1)(1), (1)(2)-(4)(0), (-1)(2)-(4)(1) =(-1, 2, -6) (cxa) dot b =(-1,2,-6) dot (-1,0,3) =(-1)(-1)+(2...
*February 9, 2015 by Annon*

**Vectors**

When do you use the dot product and the cross product?
*June 15, 2008 by Sam*

**Re: Physics/Math**

What work is done by a force (in newtons) F = 3.1xi + 3.1j, with x in meters, that moves a particle from a position r1 = 2.1i + 2.5j to r2 = - -4.9i -3.9j? For Further Reading * Physics/Math - bobpursley, Thursday, March 1, 2007 at 6:27am Work is the dot product of Force and ...
*March 2, 2007 by Technoboi11*

**Calculus**

This is the question: i[dot]imgur[dot]com/EHneTuB[dot]jpg Am i correct in simply adding 1 + (-3), and equates to (-2) being the answer.
*November 16, 2014 by Joshua*

**math **

what is 7-2i in trig form? and if u=3j and v=7i+j what is the dot product of u times v dont get this one because there are no i terms for u thanks
*December 30, 2010 by jane*

**linear algebra compute vectors**

||u||=2 ||v||=3 ||w||=5 u dot v = -1 u dot w = 1 v dot w = -4 Compute: a. ||-4w|| b. (u+w) dot v c. ||u+v||^2 d. ||v-4w||^2
*December 14, 2010 by Kay*

**math and physics**

keepandshare[dot]com/doc16/727/math-pdf-99k?da=y *replace all [dot] with a period --> .
*November 18, 2013 by Richard Miguel*

**Math**

What are dot arrays? What would a dot array for $1.84 look like? Thanks!
*August 26, 2008 by Sierra*

**trigonometry**

find the dot product of u=2i-7j and v=i+8j
*May 17, 2012 by jenna*

**trig**

Find the dot product a*b. a= (5,-9), b=(4,-3)
*June 28, 2013 by tony*

**Physics/Math**

What work is done by a force (in newtons) F = 3.1xi + 3.1j, with x in meters, that moves a particle from a position r1 = 2.1i + 2.5j to r2 = - -4.9i -3.9j? For Further Reading * Physics/Math - bobpursley, Thursday, March 1, 2007 at 6:27am Work is the dot product of Force and ...
*March 3, 2007 by Technoboi11*

**math**

i.imgur[dot]com/hE0sWBt[dot]gif prove. [steve- please take another look at this.]
*March 19, 2013 by Hasane*

**math**

i.imgur[dot]com/hE0sWBt[dot]gif prove. [steve- please take another look at this.]
*March 19, 2013 by Hasane*

**MATH PRE-ALGEBRA**

Explain how to know wheather the endpoint of the graph of an inequality should be a closed dot or an open dot.
*January 3, 2011 by MATH DUDE*

**trig**

Find the dot product of u and v u= 3i+7j v= 11i-5j
*April 30, 2012 by Sam*

**Quantum physics**

docs(dot)google(dot)com/file/d/0B4uUFmATOigqbjAxU2tRNjVwa1E/edit?usp=sharing (a) What is the inner product of the 3rd row and 14th row of this matrix? b) What is the inner product of the 3rd row with itself? C) Suppose we have a quantum circuit that takes the input |0> and ...
*September 8, 2013 by SS01*

**Physics (vectors)**

Given vectors A= (Axi + Ayj), B= (Byj+Bzk) and C= (Cyj + Czk). a) find the triple product of these vectors defined by A dot (BxC) in terms of the vector components. I get 0 as the answer. b) is the result found in a) a scalar of a vector? since I had to multiply finally by the...
*January 23, 2007 by steve*

**6th G-Math**

1.Which of the following best describes the graph of x > 2 ? A. Closed dot at x = 2, and shading to the right B. Closed dot at x = 2, and shading to the left C. Open dot at x = 2, and shading to the right D. Open dot at x = 2, and shading to the left
*April 24, 2012 by Lauren*

**Math**

Find the dot product of the following vectors: a = (4, 1) b = (-1,4) a = (7,8) b = (4, -7) You have to find the angle too. Can someone please do these?
*March 29, 2008 by Anonymous*

**Calculus **

Find the dot product of the pair of vectors; s=4i +j t=-i -j
*May 8, 2010 by Bobby*

**Calculus**

For which value(s) of k will the dot product of the vectors (k,2k-1, 3) and (k,5,-4) be 7? I did this so far, 2k-1=5 6/2 k=3
*March 29, 2012 by Jake*

**Calculus**

Calculate the dot product of two vectors: m = [4,5,-1] and n = [6,-2,7]
*May 9, 2012 by J*

**Calculus**

Find the dot product of (u+v)*w u=-1,3 v=2,4 w=2,-5 Answer choices: A:37 B:-37 C:-29 D:-33 E:29 F:9
*July 3, 2012 by Brock*

**Math**

You plan to go from Portland to Tucson. Let x be the distance in miles of any flight between Portland and Tucson. Can you write an inequality that represents the mileage of any route between Portland and Tucson? oi41 dot tinypic dot com/29dbjm0 dot jpg I have 1129 >= x >...
*November 15, 2013 by Anonymous*

**math calculus**

if i,j,k are the standard unit basic vectors, in 3 space, determine the value of k dot(j-3k)+(i-4k) dot (i-4k)-8 |i cross -k| (Simplify without using components)
*November 24, 2014 by Tina*

**Dot Product**

Determine the interior angles of triangle ABC for a(5,1) b(4,-7) and c(-1,-8)
*August 9, 2010 by Shaila*

**Calculus**

Let u = (-2,3) and v = (5,-6). Find the sum and the dot product of these two vectors.
*July 5, 2012 by Brock*

**Discrete Math: Applications of Dot Product**

A 35-kg trunk is dragged 10m up a ramp inclined at an angle of 12 degrees to the horizontal by a force of 90 N applied at an angle of 20 degrees to the ramp. At the top of the ramp, the trunk is dragged horizontally another 15m by the same force. Find the total work done. Here...
*February 23, 2008 by Anonymous*

**Vectors/Scalars?**

is (u dot v)dot (a dot c) a scalar quantity or vector quantity? What's the difference? (I'm thinking scalar since it has no direction and it only has magnitude.)
*February 8, 2015 by annonymous*

**physics**

When the thigh is fractured, the patient's leg must be kept under traction. One method of doing so is a variation on the Russell traction apparatus. (See the figure.) Please place period in place of (dot) oi53(dot)tinypic(dot)com/2a0b7yx(dot)jpg If the physical therapist ...
*March 4, 2011 by nancy*

**PHYSICS VECTORS**

1. The problem statement, all variables and given/known data Find the vector product of Vector A cross Vector B(expressed in unit vectors) of the two vectors. What is the magnitude of the vector product? 2. Relevant equations Vector A= 5.00i + 2.00j Vector B= 3.00i - 1.00j 3...
*September 17, 2009 by RAYMOND*

**calculus**

Determine (6i+2j)· (i-4j+k) This is a dot product question and each letter has the vector symbol
*August 16, 2014 by Liz*

**calculus**

For the vectors x=(0,6,-5), y=(2,1,4) and z=(-2,3,-1) what is the value of (2x+y)·(3y-z)? (dot product question and each letter is a vector)
*August 16, 2014 by Liz*

**Physics**

Three blocks are connected on the table as shown below. The coefficient of kinetic friction between the block of mass m2 and the table is 0.345. The objects have masses of m1 = 3.25 kg, m2 = 1.25 kg, and m3 = 2.50 kg, and the pulleys are frictionless. The Photo: w w w(dot)...
*February 11, 2015 by Alan*

**Math**

For inequality number lines would a less than or = to sign mean that that it would be a closed dot or open dot?
*January 11, 2010 by Clair*

**graphing**

which of these is correct description of each inequality as it would be graphed on a number line. x 2 Closed dot on 2, arrow to the left Closed dot on 2, arrow to the right Open dot on 2, arrow to the left Open dot on 2, arrow to the right nevermind
*May 21, 2007 by Santos*

**Calculus**

which pair of lines are perpendicular? a) 2x + 3y - 7=0, -3x - 2y + 2=0 b) 2x - 3y + 2=0, 5x - 7y + 2=0 c) -4x + y - 3=0, x + 4y=0 d) -5x + y + 1=0, 5x + y + 1=0 Please explain. I know we have to use the dot product :3
*April 7, 2012 by Jake*

**Calculus**

Could someone help me with this question. Determine what limit would be represented by the following graph. imgur dot com/bceWN I am not sure if it has open dot or closed but what would the equation be for open and closed dot?
*February 12, 2012 by Matthew*

**Math**

How do i solve the functions domain, range, x intercept and y intercept for this function..there is a a shaded dot on (-4,-4) and then theres a curved line going up to an unshaded dot on (0,0)
*May 13, 2009 by Fred*

**math**

A painted dot on the circumference of the wheel is 12cm from the centre of rotation of the wheel. How far does the dot travel in 5 sec., to one decimal place?
*November 9, 2009 by -*

**math**

Solve the compund inequality and graph the solution. -4<t+2<4 First I did t+2>-4 and I got t>-2 and I did t+2<4 and i got t<2. Then I graphed it and I dot an open dot on 2 and -2. Is this right? -1<1/2x<1 I did 1/2x>-1 and i got x>-2 and i did 1/...
*December 26, 2007 by robert*

**math**

Solve the compund inequality and graph the solution. -4<t+2<4 First I did t+2>-4 and I got t>-2 and I did t+2<4 and i got t<2. Then I graphed it and I dot an open dot on 2 and -2. Is this right? -1<1/2x<1 I did 1/2x>-1 and i got x>-2 and i did 1/...
*December 26, 2007 by robert*

**TRIGONOMETRY**

Use the dot product to determine which of the following vector pairs are orthogonal. a. v1 = (-5,5) and v2 = (1,1) b. v1 = (154,169.4) and v2 = (88,64)
*May 18, 2013 by Kate*

**Math - Vectors**

Prove that vector i,j and k are mutually orthogonal using the dot product. What is actually meant by mutually orthogonal?
*August 10, 2010 by Shaila*

**Chemistry**

Hi everyone, I really need help with this problem. What is the reactant, products, and what compounds is it? Is it H2O, O2, or what? What are the transition molecules? Help please. Do as below to get to the image. I couldn't put the URL in and it isn't my website. I just found...
*June 17, 2012 by Anonymous*

**math**

How do i solve the functions domain, range, x intercept and y intercept for this function..there is a a shaded dot on (-4,-4) and then theres a curved line going up to an unshaded dot on (0,0), it also has to be interval notation but im not sure how to do that either. thanks
*May 13, 2009 by Fred*

**Math**

How do i solve the functions domain, range, x intercept and y intercept for this function..there is a a shaded dot on (-4,-4) and then theres a curved line going up to an unshaded dot on (0,0), it also has to be interval notation but im not sure how to do that either. thanks
*May 13, 2009 by Jon*

**math**

given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the dot product of vectors p and q?
*January 2, 2013 by bhawani*

**Calculus**

Use the dot product to show that the line c = by + ax is perpendicular to vector v = <a,b> They seem like they would be parallel. doesn't c also = <a,b>?
*April 15, 2009 by Jessi*

**math**

which function has the greater rate of change? x-axix: -1 | 0 | 1 | 2 | y-axis: 0 | 1 | 2 | 3 | the graph has a line and 3 dots on the line. the first dot is 0, -1 the second dot is 0, 1 the third dot is 1, 2 A. the rates of change are equal B. the graph has a greater rate of ...
*May 3, 2015 by Anonymous *

**Chemistry**

is the lewis dot structure and a electron dot diagram the same thing ?
*December 2, 2010 by Anonymous*

**Vectors**

Show that if a, b, c are in V3, then (a x b) dot [(bxc)x(cxa]) = [a dot (b x c)]^2 I dont know what properties to use
*February 8, 2011 by Phil*

**Calculus 3**

Show that if a, b, c are in V3, then (a x b) dot [(bxc)x(cxa]) = [a dot (b x c)]^2 I dont know what properties to use
*February 8, 2011 by Phil*

**NEUROSCIENCE**

freepdfhosting[dot]com/b75c984836.pdf replace " [dot] " with a period. HELP?
*January 11, 2014 by Billy Jameson*

**physics**

e1205[dot]hizliresim[dot]com/x/z/78wcx.png can anyone look at it please
*May 31, 2012 by tuncay*

**math array**

my grandaughter is doing array dot to dot sample make as manydifferent arrays as possible number 5 how would i go about doing a array with dots please, desperate in need to keep up with my grandaughters homework.
*August 17, 2009 by aliya*

**Geometry**

Find every possible area for a square drawn by connecting dots of a 3 dot by 3 dot grid.
*May 28, 2008 by Heather*

**Math**

Does the top view of a cone resemble more, a circle with a dot in the middle, a circle without a dot, a square with 2 full diagonal lines or a plane square?
*February 26, 2008 by Tyler*

**computer science,python**

Write a program called ‘vectormath.py’ to do basic vector calculations in 3 dimensions: addition, dot product and normalization.
*April 19, 2015 by Scar*

**Algebra**

Hi, I'm struggling to do two questions. 1) If ||u||=2, ||v||=root 3 and u dot v = 1, find ||u+v|| 2)Show that there are no vectors u and v such that ||u|| = 1, ||v||=2 and u dot v = 3 Please help if you can. Thanks a million
*January 31, 2010 by Vanessa*

**Calculus Related**

tinyurl[dot]com/osguqrd Replace [dot] with a . Please provide an answer to the question in the link above.
*October 27, 2013 by Roger Saloan*

**Chemistry**

Where Can i find drawing of the electron dot structure of the following atoms. Argon,Calcium,Iodine www.webelements.com will give you the electron configuration. Scroll down the menu on the left side. The electron dot structure is done this way: Write the symbol for the ...
*November 11, 2006 by Bryan*

**physics**

ok so dr= 2i + 3j while F= 5i + 2j It wants me to find the work. now i know w=Fxdr. what i want to know is why when you take the dot product of both, you get a different answer compared to when you just multiply the magnitudes.
*March 6, 2010 by Mitch*

**math**

Hi I need help with this math problem: The plane that contains the points (8,3,1), (2,6,3), and (4,6,2) has an equation of the form ax + by + cz = d. Find coefficients for this equation, trying two different approaches to the problem. One method uses vectors, another does not...
*July 29, 2010 by jen*

**Vectors**

if |x|=2 and |y|=5, determine the dot product between x-2y and x+3y if the angle between vector x and y is 60deg.
*May 14, 2010 by Marie*

**Vectors**

If vector a and b are unit vectors, and |a+b|= root3, determine (2a-5b) dot product(b+3a)
*May 19, 2010 by Shawn*

**Vectors**

Given vectors A = -4.8i + 6.8j and B = 9.6i + 6.7j, determine the vector C that lies in the xy plane perpendicular to B and whose dot product with A is 20.0.
*September 28, 2010 by Victor*

**Bibliography**

In a bibliography, what is the title of the website? For example, for mises[dot]org/daily/3663 (please replace the [dot] with a period) is the title of the website "Mises[dot]org", "Ludwig von Mises Institute", or neither? I always thought it was, for exmaple, "Ludwig von ...
*May 29, 2013 by Alice*

**Math**

Calculate the dot product Ā·Ę(where Ę = Ē/E ~ is the unit vector in the direction of Ē ) and plot both Ā and Ę, showing how Ā·Ę is the projection of Ā on Ę.
*September 18, 2014 by Squawk *

**geography**

What does a star or dot in a circle usually mean on a map? I have my answer but again my Mom questions it? Here is my answer! A star in a dot means a capital of a country. A dot in a circle means a capital of a state.
*August 19, 2011 by Reed*

**Limiting Reagents**

in the synthesis of FeC2O4 (dot) 2H2O, which reagent would be the limiting reagent? FeSO4(NH4)2SO4 (dot) 6H2O - 2.68g. H2C2O4 (dot) 2H2O - 1.99g. I just want to know how the H2Os would effect finding the limiting reagent. As in do they change the ratio? The molecular mass? ...
*May 15, 2011 by Annie*

**Physics**

The drawing shows a plane diving towards the ground and then climbing back upward. During each of these motions, the lift force L acts perpendicular to the dispacement s, which has the same magnitude of 2.8 103 m in each case. The engines of the plane exert a thrust T, which ...
*February 27, 2007 by Mary*

**math**

((media.apexlearning[dot]com/Images/200706/18/c57fe191-1eb3-40c9-9b92-b10afad323f5.gif)) (above is the graph replace dot with .) The lines graphed below are perpendicular. The slope of the red line is 4. What is the slope of the green line?
*June 14, 2011 by tommy*

**Math**

2 cm green square is painted on a triangle with a base of 6 and a height of 7. A dot will be randomly placed on the triangle. What is the probability the dot will be placed outside of the square?
*June 5, 2013 by Bianca*

**Math - Calculus**

The identity below is significant because it relates 3 different kinds of products: a cross product and a dot product of 2 vectors on the left side, and the product of 2 real numbers on the right side. Prove the identity below. | a × b |˛ + (a • b)˛ = |a|˛|b|˛ My work, LSH...
*March 3, 2008 by Anonymous*