April 18, 2014

Search: Math: Dot Product

Number of results: 221,219

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
Thursday, February 21, 2008 at 4:28pm by Anonymous

take the dot product... remember i dot i is 1, j dot j is 1, k dot k is 1, whereas any of the ij, jk, ki dot products is zero. I will start you. A dot B= 3i dot 3i + 1j dot(-2j) + .... A.B=9+(-2)+ ... then add them
Wednesday, February 29, 2012 at 5:15pm by bobpursley

Could be a dot product (scalar product) or could be a vector product (cross product) If a dot product then 6*-3 + 7*9 = 45 If a cross product then i j k 6 7 0 -3 9 0 do determinant k (6*9 -(7*-3) ) = k (54+21) = 75 in z direction
Monday, April 23, 2012 at 7:19pm by Damon

Your typing did not come out the way you probably intended, but I am guessing your have two vertors (3,0,-1) and (4,-2,5) and are taking the dot product inner product or dot product = 3(4) + 0(-2) + (-1)(5) = 12 + 0 - 5 = 7 if the dot product is zero, then the two vectors are ...
Monday, September 10, 2012 at 9:19pm by Reiny

do the dot product, and the magnitude of the cross product. cross product= r1XR2=magR1*magR2*sinTheta dot product= magR1*magR2*cosTheta cross product/dot product = tan theta solve for theta. How do you get cross product? r1XR1=(2.3i-4.74j)X(3.02i+.85j) = 2.31iX(3.02i+.85j...
Sunday, June 12, 2011 at 7:49pm by bobpursley

Dot Product
It wants you to substitute values (can be anything as far as I know) for each vector into that equation, then explain based on what you know of the definition of a dot product its properties. For example: <2,3> dot (<1,4> dot <3,3> = (<2,3> dot <1,4&...
Tuesday, July 1, 2008 at 2:20pm by billy

Math: Cross Product
Prove that | a x b | = (sqrt) [(a (dot) b)(b (dot) b) - (a (dot) b)^2]
Wednesday, February 27, 2008 at 10:33pm by Anonymous

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 ...
Tuesday, February 26, 2008 at 9:15pm by Anonymous

Work is the dot product of the Force and Displacement vectors. I assume you know what a dot product is. If not, you need to review that subject.
Monday, June 13, 2011 at 4:17pm by drwls

College Physics
work=force dot distance where dot means the dot product. Dot product means the component in the same direction. Here force is mg, so the distance in that direction is 4m Notice in the second, the movement is downward, gravity is doing the work, the escalator is absorbing it, ...
Thursday, November 12, 2009 at 11:51am by bobpursley

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 ...
Monday, August 9, 2010 at 9:06am by Shaila

Take the dot product of the E vector (4i + 3j) and the displacement vector (between A and B), which is (3i + 4j). The dot product in this case is 3*4 + 4*3 = ?
Monday, April 6, 2009 at 10:51pm by drwls

If you know that the dot product of vectors u and v is |u| |v| cos theta then you can surely say that u dot v </= |u| |v|
Thursday, May 14, 2009 at 11:49pm by Damon

In that case, say dot product. 5i-4j+4k -5i+3j-2k = -25-12-8 = -45 you say you don't mean cross product, but you give vectors for answers. dot product of two vectors is just a number. I'm afraid I don't know what operation you are using.
Thursday, August 30, 2012 at 4:20pm by Steve

I assume they mean find angle ABC I would find vector BA then find vector BC then use either dot or cross product, dot product might be easier BA dot BC = |BA| |BC| cos (ABC) solve for ABC
Saturday, December 24, 2011 at 10:45pm by Damon

It is called a dot product, but you typed it like a cross product, which is something else entirely. The dot product of two vectors is the product of their magnitudes TIMES the cosine of the angle between the vectors. These vectors are not parallel in this case, so the cosine ...
Saturday, March 6, 2010 at 8:29pm by drwls

You can use the dot product and/or the cross product dot product: a dot b = |a| |b| cos theta a = 1 i + 0 j + 0 k b = 3 i - 2 j + 4 k |a| = 1 |b| = sqrt(9+4+16) = sqrt 29 a dot b = 3 so sqrt 29 cos theta = 3 cos theta = 3/sqrt 29 theta = 56.1 deg -------------------------- ...
Sunday, March 17, 2013 at 5:27am by Damon

You can also solve this problem purely algebraically without using geometry or drawing diagrams. If we denote the resultant force by R, the force of magnitude 8 N at an angle of 30 to the resultant by y and the unknown force by x, we have: x + y = R -------> x = R - y ...
Sunday, June 29, 2008 at 8:30pm by Count Iblis

In general the projection of U onto V is: (U dot V)/|V| = (4,2)dot(1,-2)/|V| = (4-4)/√5 = 0/√5 = 0 makes sense, since the 2 vectors are orthogonal, that is, they form a 90 angle with each other (their dot product is zero)
Wednesday, May 30, 2012 at 10:14pm by Reiny

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
Monday, July 16, 2007 at 5:44pm by chris

Dot product
If a and b are two dimensionsal vectors with components (2,2k) and (4,k)respectively, and if they are perpendicular, then the dot product must be zero. Therefore 8 + 2k^2 = 0; however this lerads to an imaginary number for k. There is no solution in this case. Are you sure ...
Monday, June 30, 2008 at 2:27pm by drwls

Matrix products are defined if they are compatible in size. Am,n is a matrix of m rows and n columns, and a vector B of n elements can be considered as a matrix Bn,1. Specifically, the matrix product between A and B is defined when the number of columns of A equals the number ...
Friday, November 26, 2010 at 9:20am by MathMate

cross product or dot product?
Tuesday, January 1, 2013 at 6:21am by drwls

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 ...
Wednesday, August 24, 2011 at 10:45am by angles

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.
Tuesday, July 1, 2008 at 2:20pm by Putnam

I do not understand what you have done here at all. XY does not mean much to me. There are two kinds of products of vectors, cross product and dot product, X x Y and X dot Y. There is also the sum of the vectors X + Y It looks like you might mean the sum here, in which case ...
Sunday, April 26, 2009 at 12:31am by Damon

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?
Thursday, March 29, 2012 at 7:06pm by Jake

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 ...
Friday, August 20, 2010 at 12:50am by Suhani

(a) Since the definition of a dot product of A and B vectors , where A and B are vectors, is |A| |B| cos theta, then if B = A, then the angle between the two vectors is zero and {A}^2 = A*A (b) What are a and b? You don't define them. If the magnitude of F is constant, the ...
Saturday, September 6, 2008 at 7:00pm by drwls

Take the dot product of the displacement and force vectors. Looks like 16 joules. Review vector dot (scalar) products
Monday, April 2, 2012 at 8:16am by drwls

Vector Calculus
2. Use the properties of the dot product to show that (⃗b⃗c)a−(⃗a⃗c)⃗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 ...
Monday, January 30, 2012 at 11:41pm by Lizz

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 ...
Thursday, March 1, 2007 at 12:05am by Technoboi11

electric fields
V= integral Edx= INT (20i+60j)dot dx= 60+80=140volts notice the dot product, so integrate x first, then y, then add the scalars.
Thursday, February 16, 2012 at 11:37am by bobpursley

for any ax + by + c = 0 , the direction vector of the normal is (a,b) If the normals are perpendicular, then obviously the line are perpendicular, so ... a) normal to first line is (2,3) normal to 2nd line is (-3,-2) dot product = -6 - 6 ≠ 0 so the lines are NOT ...
Saturday, April 7, 2012 at 1:35pm by Reiny

work=force dot dx the dot product is scalar, so all the components (ii,jj,kk) are added. b) power= d work/dt= d Force dot velocity/dt -12watts= (4i-2j+9k) vj vj= -12/-2 = 6j
Monday, March 15, 2010 at 9:21am by bobpursley

When do you use the dot product and the cross product?
Sunday, June 15, 2008 at 6:14pm by Sam

Calculate the dot product of the three pairs of vectors. If the dot product is zero, the vectors are orthogonal. For example, (i)<18,-3>.<-1,-6>=-18+18=0 So pair (i) is orthogonal. Post your answer for checking if you wish.
Wednesday, August 1, 2012 at 4:32pm by MathMate

A uniform electric field of magnitude 250 V/m is directed in the positive x direction. A +12.0-C 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 chargefield system? (b) Through what potential ...
Monday, April 30, 2007 at 4:47pm by sammy

Calculus please help !
inner product or dot product = 3(4) + 0 -1(5) = 12-5 = 7 not perpendicular, (would have to be zero)
Wednesday, February 20, 2013 at 5:54pm by Reiny

Math - Vectors
mutually orthogonal=the three of them are orthogonal (or perpendicular) to each other,, [angle between them is 90 degrees] first recall the formula for the dot product. for any given vectors A and B, A(dot)B=|A||B|cos(theta) where |A| and |B| are the magnitude of vectors A and...
Tuesday, August 10, 2010 at 3:39am by jai

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 ...
Thursday, March 1, 2007 at 2:32am by Technoboi11

More Math
tutorial(dot)math(dot)lamar(dot)edu/Classes/CalcI/DefnOfDerivative.aspx lim h->0 ([(x+h)^2-2(x+h)]-[x^2-2x])/h
Monday, September 13, 2010 at 8:38pm by TutorCat

Which of the following brake fluids is a strong paint solvent? DOT 1 DOT 2 DOT 3 DOT 5
Wednesday, September 12, 2012 at 3:32pm by Vicky

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!!!!!!!!!
Sunday, February 11, 2007 at 8:02pm by Shay

this will help you: tutorial(dot)math(dot)lamar(dot)edu/Classes/CalcI/DefnOfDerivative.aspx
Monday, September 13, 2010 at 7:09pm by TutorCat

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: 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 ...
Tuesday, July 17, 2007 at 12:10am by chris

If you have used vectors, you can 1. calculate the vectors AB and CB. 2. Calculate the inner product (or dot product) AB.CB and the magnitudes of AB and CB. 3. Cos(θ) = AC.CB/(|AB|*|CB|) You can also calculate by trigonometry by calculating the lengths of each of the ...
Sunday, June 19, 2011 at 1:08pm by MathMate

This one is a lot easier than it looks! If the planes are perpendicular, the normals to the planes are perpendicular. The directions of the normals are given by the vectors A1i + B1j + C1k and A2i + B2j + C2k wjere i, j and k are mutually perpendicular unit vectors. Now ...
Tuesday, July 8, 2008 at 5:12pm by drwls

I think you mean the identity: a dot ( b cross c) = c dot (a cross b) This can most easily be proved byintroducing the anti-symmetric pseudo tensor e_{i,j,k}: e_{i,j,k} = 1 if (i,j,k) is a cyclic permutation of (1,2,3) e_{i,j,k} = -1 if (i,j,k) is a cyclic permutation of (3,2,...
Thursday, July 3, 2008 at 7:36pm by Count Iblis

I think you mean the identity: a dot ( b cross c) = c dot (a cross b) This can most easily be proved byintroducing the anti-symmetric pseudo tensor e_{i,j,k}: e_{i,j,k} = 1 if (i,j,k) is a cyclic permutation of (1,2,3) e_{i,j,k} = -1 if (i,j,k) is a cyclic permutation of (3,2,...
Tuesday, July 1, 2008 at 2:51pm by Count Iblis

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...
Friday, October 6, 2006 at 5:02pm by Jamie

The sum of vectors x and y would not be written "x y". What kind of product are you talking about? Cross (dot) prducts are scalars. Are you taking about the vector cross product X x Y ? (The characters and x operator are supposed to be in bold type for cross products) Your ...
Friday, April 10, 2009 at 1:36am by drwls

speed, of a snail or otherwise, is a scalar. Add direction, and it is a vector. Multiply, or to divide vectors is a little complicated. ordinary multiplication or division results in a vector. dot product results in a scalar cross product results in a vector which is ...
Saturday, January 31, 2009 at 12:22pm by bobpursley

Math - Product Dot Vectors
a is evidently a vector and so is b in that case I would write a and b as a = Ax i + Ay j and b = Bx i + By j Then 3 a + 4 b = (3Ax+4Bx)i+(3Ay+4By)j and 5 a + 6 b = (5Ax+6Bx)i+(5Ay+6By)j Then the dot product of those two vectors is (3Ax+4Bx)(5Ax+6Bx)+(3Ay+4By)(5Ay+6By) which ...
Thursday, February 21, 2008 at 4:28pm by Damon

u,v, w are not given. Times? What is times? Do you mean the cross product? Your use of the word times indicates to me that you need to urgently review what dot product and cross product mean. There is no vector operation "times".
Friday, February 22, 2008 at 10:31pm by bobpursley

Math: Vectors
You want F DOT D (I am using capital for vector) = |F||D| cos T where T is the angle between them. dot product = scalar product = FxDx + FyDy = 4*3 + 1*10 = 12+10 = 22 Now do that one other way |F| = sqrt(4^2+1^2) = sqrt(17) |D| = sqrt(3^2+10^2) = sqrt (109) angle F to x axis...
Sunday, February 24, 2008 at 6:41pm by Damon

the dot product (or scalar product) is when you want a scalar answer, just a number that represents how much of one vector is along the other one. A dot B is |A| |B| cos T where T is the angle between vectors A and B The cross or vector product is how much the vectors are ...
Sunday, June 15, 2008 at 6:14pm by Damon

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
Thursday, December 30, 2010 at 11:00am by jane

Linear Algebra!
I could also say the dot product of vector 1 and vector 2 is 0 if they are perpendicular V1 = 1 i - 2 j V2 = a i + b j V1 dot V2 = a -2 b = 0 so no matter what t is, a = 2 b V2 = 2 i + 1 j or 4 i + 2 j or in general V2 = (2 i + 1 j) t
Wednesday, January 29, 2014 at 4:16pm by Damon

dot product? s.t=4*-1 + 1*-1=-5
Saturday, May 8, 2010 at 8:51pm by bobpursley

6th grade
This website should help, hubpages(Dot)com/hub/Acid--Alkali remember to put an acual dot where the (Dot) is.
Wednesday, May 5, 2010 at 2:43pm by Poppy

Here's the figure: session [dot] masteringphysics [dot] com/problemAsset/1039128/5/YF-11-55 [dot] jpg
Sunday, May 19, 2013 at 3:01pm by Anonymous

College Anatomy
Saturday, September 11, 2010 at 4:01pm by Anonymous

vector math
Why do you write asu for the subject? Are you going to Arizona State U? The DOT product of those two vectors, u*v, would be +28, a scalar. The CROSS product u x v would be a vector. You have not said what the question is. You have only defined two vectors.
Saturday, December 31, 2011 at 6:30am by drwls

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...
Thursday, September 17, 2009 at 10:18pm by RAYMOND

I get -134 for the dot product.
Saturday, December 31, 2011 at 6:30am by Damon

Find the dot product a*b. a= (5,-9), b=(4,-3)
Friday, June 28, 2013 at 11:36am by tony

Use the property a dot (b+c) = a dot b + a dot c
Sunday, April 11, 2010 at 9:52pm by Count Iblis

V[open dot]r(t) (read V of r) is a shorthand for V(r(t)). The symbol [open dot] is a composition operator. So V[open dot]r(t) =V(r(t)) =V(16-t) =4/3 pi (16-t)^3 Simplify to complete the problem.
Friday, March 12, 2010 at 8:06am by MathMate

Calculate the dot product of two vectors: m = [4,5,-1] and n = [6,-2,7]
Wednesday, May 9, 2012 at 1:28am by J

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?
Saturday, March 29, 2008 at 7:18pm by Anonymous

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...
Tuesday, January 23, 2007 at 1:26pm by steve

Discrete Math: Applications of Dot Product
When calculated that equation to get an answer, it didn't match up with the textbook answer.
Saturday, February 23, 2008 at 5:29pm by Anonymous

The magnitude of u is sqrt 18. The magnitude of v is 4 The dot product of u and v is u*v = -6 -6sqrt3 = -6(1+sqrt3) The cosine of the angle between the vectors is (u*v)/|u||v|
Wednesday, March 31, 2010 at 1:10am by drwls

Force vector, F: (2.3cos(100°),2.3sin(100°)) N Displacement vector, D: (3,4.4) m Work done = F.D (dot product of the two vectors) J A dot product between two vectors A(ax,ay) and B(bx,by) is a scaler calculated as A.B = ax*bx + ay*by See also:
Thursday, October 1, 2009 at 12:27pm by MathMate

Explain how to know wheather the endpoint of the graph of an inequality should be a closed dot or an open dot.
Monday, January 3, 2011 at 10:06pm by MATH DUDE

Find the dot product of the pair of vectors; s=4i +j t=-i -j
Saturday, May 8, 2010 at 8:51pm by Bobby

I am assuming that the * indicates a "dot product". v + w = [-2,8] [3,-5]*[-2,8] = -6 -40 = -46
Saturday, May 8, 2010 at 9:18pm by drwls

a) if one is a multiple of the other b) if their dot product is zero
Thursday, June 17, 2010 at 11:05pm by Reiny

Dot Product
Determine the interior angles of triangle ABC for a(5,1) b(4,-7) and c(-1,-8)
Monday, August 9, 2010 at 9:13am by Shaila

find the dot product of u=2i-7j and v=i+8j
Thursday, May 17, 2012 at 4:57pm by jenna

Let u = (-2,3) and v = (5,-6). Find the sum and the dot product of these two vectors.
Thursday, July 5, 2012 at 10:11pm by Brock

Calc and Vectors
if vectors a, b, and c define a parallelepiped , then its volume is given by | a dot (b x c) | = | (-2,0,4) dot (5,9,0) x (0,3,-7) | = | (-2,0,4) dot (-63, 35 , 15) | = | 126 + 0 + 60 | = 186
Thursday, September 26, 2013 at 11:06pm by Reiny

Tuesday, March 19, 2013 at 4:29pm by Hasane

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
Tuesday, April 24, 2012 at 5:23pm by Lauren

What are dot arrays? What would a dot array for $1.84 look like? Thanks!
Tuesday, August 26, 2008 at 8:10pm by Sierra

math and physics
keepandshare[dot]com/doc16/727/math-pdf-99k?da=y *replace all [dot] with a period --> .
Monday, November 18, 2013 at 7:33pm by Richard Miguel

Find the dot product of u and v u= 3i+7j v= 11i-5j
Monday, April 30, 2012 at 6:42pm 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 ...
Sunday, September 8, 2013 at 6:28am by SS01

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
Tuesday, December 14, 2010 at 6:36pm by Kay

It should be an open dot because it's an inequality. It would be a closed dot if it was an equality, such as x=3.
Monday, January 3, 2011 at 10:06pm by Jen

yes! if it is addition or subtraction you have an open dot! if it multiplication or division than a closed dot!
Monday, January 3, 2011 at 10:06pm by kim

i.imgur[dot]com/hE0sWBt[dot]gif prove. [steve- please take another look at this.]
Tuesday, March 19, 2013 at 5:32pm by Hasane

i.imgur[dot]com/hE0sWBt[dot]gif prove. [steve- please take another look at this.]
Tuesday, March 19, 2013 at 8:28pm by Hasane

I have no idea of the picture. Flux is B.Area, where . means dot product.
Thursday, October 11, 2007 at 6:11pm by bobpursley

use the dot product ab = |a| |b|cos cos = (-4√7 + 9)/(20) = 94.5
Monday, April 5, 2010 at 7:30pm by Reiny

double u (dot) classconnect (dot) ca / Documents / SPH4U0 / Kinematics%20 Review % 20 Questions (dot) pdf add the periods instead of dots. contains the solution
Friday, February 18, 2011 at 1:29pm by Anonymous

r(v-w)=(r+s)i-20j start with the i componnets. r(v-w) dot i=r+s (5ri-2rj-ri-3rj)dot i= r+s 5r-r=r+s 4r=s Now the j components r(v-w)dot j=-20 -2r-3r=-20 r=4 then s=1 check my work, please
Thursday, April 26, 2012 at 9:32am by Anonymous

Vectors & Geometry
Multiply out the dot product factors. (Ai I + A2 J + A3 K).(Bi I + B2 J + B3 K). Cross product terms like AiI.B2J will be zero because the two unit vectors I and J are perpendicular. You will be left with only the sum of the products of components along the same axis, like AiBi.
Thursday, October 29, 2009 at 12:54am by drwls

Even if you cannot post the link, you can tell the name of the website where you looked it up ... maybe like this: www (dot) cvusd (dot) k12 (dot) ca (dot) us / English / writing_reports (That's not a real website; it's just to give you and idea how to tell what it is if you ...
Tuesday, September 21, 2010 at 5:01pm by Writeacher

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