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Math: Dot Product

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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

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 ...

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/

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 ...

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 ...

Math: Cross Product
Prove that | a x b | = (sqrt) [(a (dot) b)(b (dot) b) - (a (dot) b)^2]

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...

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

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>

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>

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 ...

physics
A uniform electric field of magnitude 250 V/m is directed in the positive x direction. A +12.0-ìC 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 ...

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, ...

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 ...

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.

Calculus
Find (a cross b)dot product a? & Find the cross product(a × b) dot product b? a = 1, 1, −1 b = 4, 8, 10

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 ...

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...

Science
Which of the following brake fluids is a strong paint solvent? DOT 1 DOT 2 DOT 3 DOT 5

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 ...

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 ...

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?

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 ...

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!!!!!!!!!

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 ...

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.

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...

physics
Three point charges are located away from a dot. charge 1 is 3 cm north of the dot and is 2.1 nC. Charge 2 is 5 cm east of the dot and is -5nC. Charge 3 is -10nC and is located 45 degrees northeast and 5.831 cm away from the dot. What is the net electric field at the position ...

math
If â=2î+3j+k and b=î-j+2k find dot product a.b

Vectors
When do you use the dot product and the cross product?

Physics
i41 tinypic com/2qna74k png (add the periods) For the vectors in the figure, with a = 6.4, b = 2.5 and c = 6.87. Calculate a(dot)b calculate a(dot)c calculate b(dot)c I got 0 for a(dot)b but the same method (ac*cos(theta)) does not work for the other two, please help.

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 ...

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.

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 don't get this one because there are no i terms for u thanks

Science (Biology)
Use your knowledge of photosynthesis to explain what is happening in the following graphs. 67(dot)media(dot)tumblr(dot)com /d99a0dd856c87dfc21b9314f89019994/tumblr_o7ltp1unLS1tt1il6o1_1280.jpg

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

Math graphs,dot,ven
I did a bar graph I think it is easier than dot and ven diagram. Am I correct because ven diagram there are no similarities and dot is to long.the problem asks as follows. Display the data using a dot plot,bar graph or vennot diagram.decide which data displays best for ...

trigonometry
find the dot product of u=2i-7j and v=i+8j

trig
Find the dot product a*b. a= (5,-9), b=(4,-3)

Calculus
Find the dot product of: <-1, 7> and <2, ¾>.

Math
What are dot arrays? What would a dot array for $1.84 look like? Thanks!

math and physics
keepandshare[dot]com/doc16/727/math-pdf-99k?da=y *replace all [dot] with a period --> .

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 ...

math
i.imgur[dot]com/hE0sWBt[dot]gif prove. [steve- please take another look at this.]

math
i.imgur[dot]com/hE0sWBt[dot]gif prove. [steve- please take another look at this.]

trig
Find the dot product of u and v u= 3i+7j v= 11i-5j

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 ...

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...

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.

Calculus
Find the dot product of the pair of vectors; s=4i +j t=-i -j

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

Calculus
Calculate the dot product of two vectors: m = [4,5,-1] and n = [6,-2,7]

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

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

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 >...

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?

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.)

Dot Product
Determine the interior angles of triangle ABC for a(5,1) b(4,-7) and c(-1,-8)

Calculus
Let u = (-2,3) and v = (5,-6). Find the sum and the dot product of these two vectors.

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)

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...

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 ...

calculus
Determine (6i+2j)· (i-4j+k) This is a dot product question and each letter has the vector symbol

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)

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. ...

Physics
Find the magnitude of the dot product of the two vectors B=6i+j+2k, D=-1+3j. What is the angle between B and D

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)...

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

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

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?

Math
For inequality number lines would a less than or = to sign mean that that it would be a closed dot or open dot?

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)

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?

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/...

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/...

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)

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...

Math - Vectors
Prove that vector i,j and k are mutually orthogonal using the dot product. What is actually meant by mutually orthogonal?

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>?

Physics
Let F1=10i-15j-20k,F2=6i+8j-12k. Find their dot product and the angle between those two vectors

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

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

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?

Chemistry
is the lewis dot structure and a electron dot diagram the same thing ?

NEUROSCIENCE
freepdfhosting[dot]com/b75c984836.pdf replace " [dot] " with a period. HELP?

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 don't know what properties to use

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 don't know what properties to use

physics
e1205[dot]hizliresim[dot]com/x/z/78wcx.png can anyone look at it please

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 ...

Geometry
Find every possible area for a square drawn by connecting dots of a 3 dot by 3 dot grid.

computer science,python
Write a program called ‘vectormath.py’ to do basic vector calculations in 3 dimensions: addition, dot product and normalization.

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

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.

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?

Calculus Related
tinyurl[dot]com/osguqrd Replace [dot] with a . Please provide an answer to the question in the link above.

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 ...

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.

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.

Vectors
If vector a and b are unit vectors, and |a+b|= root3, determine (2a-5b) dot product(b+3a)

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 ...

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