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April 20, 2014

Search: Math: Calculus - Vectors

Number of results: 241,898

Calculus and Vectors
THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a dot b
Saturday, May 11, 2013 at 3:53pm by Johnny

Calculus
Name two sets of vectors that could be used to span a set in R^3. Show how the vectors (-1,2,0) and (3,4,0) could each be written as a linear combination of the vectors you have chosen.
Wednesday, April 28, 2010 at 4:56pm by Jackiee

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?
Wednesday, January 2, 2013 at 1:04am by bhawani

math
given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the product of vectors p and q?
Tuesday, January 1, 2013 at 6:21am by bhawani

Calculus and vectors
A parallelogram is formed by R^3 by the vectors PA=(3,2,-3) and PB=(4,1,5). The point P=(0,2,3). a) what are the location of the vertices? b) what are the vectors representing the diagonals? c) what are the length of the diagonals?
Friday, March 23, 2012 at 4:03pm by Melinda

Calculus and vectors
Please, help I don't understand vectors T.T 1. In the prism, assume all dimensions have different lengths, state the following: a) state 3 equal vectors to DC⃗ b) state 4 opposite vectors to BC⃗ ------------------------------------- Here is the prism below, imgur ...
Sunday, March 18, 2012 at 12:09am by Melissa

Calculus/Vectors
Calculate the area of the parallelogram with sides consisting of the vectors: a = (1,2,-2) b = (-1,3,0)
Tuesday, May 17, 2011 at 5:46pm by Anonymous

Calculus and vectors
Do the vectors (2,0,1),(-2,0,0) and (2,3,0) lie on the same plane? Explain your reasoning.
Monday, March 26, 2012 at 3:21pm by Melinda

Calculus and Vectors
(a-5b).(a-b) = 0 ----> a^2 + 5 b^2 - 6 a.b = 0 a^2 = b^2 = 1 (as a and b are unit vectors), therefore: a.b = 1
Saturday, May 11, 2013 at 3:53pm by Count Iblis

math
two vectors are defined as a=2i+xj and b=i-4j. find value of x if a) the vectors are parallel b) the vectors are perpendicular
Sunday, November 21, 2010 at 8:12pm by karla

math
two vectors are defined as a=2i+xj and b=i-4j. find value of x if a) the vectors are parallel b) the vectors are perpendicular
Sunday, November 21, 2010 at 8:50pm by karla

Math - Algebraic Vectors
Given the vectors: u = [3, 0] v = [-1, 2] a) Express the vector w = [2, 8] as a linear combination of vectors u and v. How do I do this?
Wednesday, February 13, 2008 at 2:38pm by Anonymous

Calculus and vectors
take the triple product (2,0,1)(-2,0,0)(2,3,0) | 2 0 1 | |-2 0 0 | = -6 | 2 3 0 | so the vectors are not coplanar. The product represents the volume of the parallelopiped with the three vectors as edges. If they are coplanar, the volume is zero.
Monday, March 26, 2012 at 3:21pm by Steve

math
if vectors a+b+c=0 and modulus of the vectors a, b and c are 3 ,5 and 7 respectively. find the angle between the vectors a and b.
Saturday, January 5, 2013 at 4:04am by raja

Calculus and vectors
|C|=5 and |D|=8. The angle formed by vectors C and D is 35 degrees, and the angle formed by vectors A and C is 40 degrees. Determine |B|. Could someone explain this question
Friday, March 23, 2012 at 12:12am by Jake

calculus
Find two unit vectors that make an angle of 60 with v = 3, 4 (Enter your answer as a comma-separated list of vectors. Round your answers to four decimal places.)
Wednesday, August 31, 2011 at 12:46pm by colt

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

Calculus
(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

CALCULUS!!!!!
Given the vectors a = (1, 3, 4) and b = (4, 5, -4), what is the angle between the two given vectors to the nearest degree?
Wednesday, July 2, 2008 at 5:50pm by Mathlicious

Calculus
Suppose vectors a and b are vectors such that a x b =(3,1,4). What is the cross product of twice of a with twice of b?
Tuesday, April 17, 2012 at 7:40pm by Jake

physics
Can you help me with this one also? I know how to do it with 3 vectors but I can't seem to draw it with 4 vectors. The magnitudes of the four displacement vectors shown in the drawing are A=16.0 m, B=11.0 m, C=12.0 m, and D=26.0 m. Determine the (1) magnitude and (2) ...
Sunday, January 23, 2011 at 9:02pm by Brittany

Calculus
why not just specify that a and b are vectors? Then the problem is: vectors a and b point in the same direction, and have magnitude 6. answer: equal and parallel. sqrt(90^2+4^2) = 90.088 ~ 90.1
Sunday, August 19, 2012 at 4:36pm by Steve

Physics
The last thing you need to see is an equation. You are adding three vectors. Compute the vectors, and add them with vector math, the result will be along the direction of the diagonal. I suspect you are having breaking vectors into components, and need to understand that.
Friday, August 13, 2010 at 8:12pm by bobpursley

Math: Calculus - Geometric Vectors
Find the magnitude and the direction of the resultant of each of the following systems of forces using geometric vectors. a) Forces of 3 N and 8 N acting at an angle of 60 degrees to each other. Please help me with this question. I don't understand the wording, so I don't know...
Sunday, February 17, 2008 at 11:41pm by Anonymous

Calculus
a) Prove that |A|^2 = AA for every vector A. (Note, the A's are vectors) b)Use this to show that if |F(t)| is constant for t for all (a,b), then F'(t)F(t) = 0 for t for all (a,b). (Note the Fs are vectors)
Saturday, September 6, 2008 at 7:00pm by Mark

physics
You add the vectors. I recommend break each of the distances into N and E vectors, so adding the four vectors can be done in components. I will be happy to critique your thinking or work.
Monday, January 14, 2008 at 3:11am by bobpursley

Calculus and vectors
Please help/verify the answer. 1. When you add vectors geometrically: a) vectors are aligned tail to tail b) vectors are aligned head to head c) vectors are aligned head to tail d) vectors are put side by side Is the answer D? -------------------------------------- 2. Adding a...
Monday, March 26, 2012 at 10:53pm by Melinda

CALCULUS 3
The scalar triple product P among three vectors U,V and W is defined as follows: P=U.(VxW) |P| represents the volume of the parallelepiped formed by the vectors U, V and W. Consequently, if U, V and W are coplanar, P=0. Since 4 points (A,B,C,D) are given, three vectors can be ...
Thursday, February 24, 2011 at 2:16am by MathMate

Calulas and VECTORS
THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b
Wednesday, May 19, 2010 at 7:34pm by z...........................

Physics
Break each of the vectors into N, E components. For instance: vectorC is -C*Cos35 E and C*sin35N do that for all three vectors, then the sum of all three E vectors will be zero, and the sum of all three N vectors will be zero. Solve B, C (B,C is a magnitude of vectors b, C
Monday, January 19, 2009 at 8:59pm by bobpursley

physics
if the * is the degrees, then you need to draw the vectors according to their direction. you can use a graph paper and make your own scale: say one unit cube is 10km/hr. then use the protractor to draw the vectors taking an horizontal line as zero degrees. then draw the ...
Thursday, June 6, 2013 at 3:57am by bonjo

Calculus and vectors-Help~David
54 cm^3 is the correct answer I do it differently: if given 3 vectors a, b, and c volume of parallelepiped =| a . (b X c) | (2,0,0) X (0,0,3) = (0, -6, 0) volume = |(0,9,5) . (0,-6,0) | = |0-54+0| = 54
Thursday, March 22, 2012 at 11:25pm by Reiny

Calculus
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

Calculus
Given vectors u= (1,-1,3) and v= (-4,5,3) find an ordered triple that represents vectors 3u-2v. a.(16,1,-7) b.(11,-13,3) c.(10,-12,1) d.(7,-7,16) I dont want you to straight up give me the answer. I need someone to teach me how to solve this problem. I am home schooled and i ...
Thursday, August 23, 2012 at 6:48pm by alana

Vectors
THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b
Saturday, May 11, 2013 at 3:54pm by Johnny

Calculus and vectors-Help~David
Rectangular prism is defined by vectors (2,0,0)(0,9,5) and (0,0,3). Find the volume. I have done this so far, would anyone please verify this. (2,0,0)(0,9,6) (0-2, 9-0, 6-0) =(-2,9,6) (-2,9,6)(0,0,3) =(2,-9,-3) (2)(-9)(-3)=54 cm^3 Therefore volume is 54 cm^3
Thursday, March 22, 2012 at 11:25pm by Jake

math: Calculus - Algebraic Vectors
your wind is coming from N80E so your w vector should be (-39.4,-6.9) then │r│ = (24.4-39.4,173.3-6.9) it works out (BTW, I just did the same question by using the cosine law, then the sine law and got the answer much faster, but then again, it said using algebraic...
Monday, February 18, 2008 at 12:15pm by Reiny

Calculus
For which following condition, will the dot product of two vectors be zero? a) If the angle between them is 90. b) If the angle between them is 0. c) If the angle between them is 180 d) If the vectors have the same magnitude. Anyone know what the answer is?
Friday, July 4, 2008 at 4:23pm by MileyWannabe

vectors
Determine whether each statement is true or false. Provide a brief justification. a. Two lines with parallel direction vectors willnot intersect. b. Two linesthat are perpendicularin R3 willhave perpendicular direction vectors. c. Two linesthat havenon-paralleldirection ...
Wednesday, June 9, 2010 at 5:25pm by Alicia

Calculus and vectors
Explain how the vector C⃗(Going from the head of B⃗ to the head of A⃗) can be written in terms of vectors A⃗ and B⃗ Given the shape in this url: imgur dot com/5nT3V
Sunday, March 18, 2012 at 7:31pm by Melissa

physics
if the * is the degrees, then you need to draw the vectors according to their direction. you can use a graph paper and make your own scale: say one unit cube is 10km/hr. then use the protractor to draw the vectors taking an horizontal line as zero degrees. then draw the ...
Thursday, June 6, 2013 at 3:57am by d

Physics Vectors
two vectors A and B have magnitude such that A>B. We do not know the directions of the vectors. however we can say that the magnitude of the sum A+B must be between? a) B and 2A b)A and A+B c) A-B and A+B d) A-B and A e) B and A+B
Thursday, September 27, 2012 at 8:59pm by cody

Math
Prove that vectors u, v and w are coplanar if and only if vectors u, v and w are linearly dependent.
Friday, April 18, 2008 at 1:34am by Tess

physical science
The resultant vector of two particular displacement vectors dose not equal the sum of the magnitudes of the individual vectors. Describe the directions of the two vectors.
Monday, May 2, 2011 at 5:15pm by Becky

Calculus
Find the inner product of vectors a and b if a = (3, 0, 1) and b = (4, 2, 5,) and state whether the vectors are perpendicular. Find the inner product of vectors a and b if a=(4,-2,-2) and b= (-7,-2,4) , and state whether the vectors are perpendicular.
Monday, September 10, 2012 at 9:19pm by horre

Calculus
Find the inner product of vectors a and b if a = (3, 0, 1) and b = (4, 2, 5,) and state whether the vectors are perpendicular. Find the inner product of vectors a and b if a=(4,-2,-2) and b= (-7,-2,4) , and state whether the vectors are perpendicular.
Monday, September 10, 2012 at 10:23pm by horre

12th grade
prove that normal to plane containing 3 points whose position vectors are a vector,b vector,c vectorlies in direction addition of cross product of vectors b and c and cross product of vectors c and a and cross product of vectors a and b
Tuesday, September 22, 2009 at 9:54am by parth

PreCalculus
Given vectors u=7i + 3j and v = -4i + 3j, find 5u-4v in terms of unit vectors. I am just beginning the study of vectors and have this problem. Could someone help? Thanks.
Thursday, January 29, 2009 at 9:48pm by Joanie

math
Two vectors have magnitudes of 3 units and 8 units respectively. The resultant of these two vectors has a magnitude of 8 units. What is the angle between these two vectors?
Friday, March 1, 2013 at 6:58pm by dave

math
using 2 different pairs of points, find 2 direction vectors in the plane, then take the cross-product of those two vectors.
Monday, January 25, 2010 at 5:49pm by Reiny

Calculus and vectors
I can only assume that while the perpendicular lengths are all different, the faces are parallel? In that case AB=DC=EF=HG opposite to BC would be equal to CB: CB=DA=HE=GF since these are vectors, and not just edge lengths, you need to be sure to indicate the direction correctly.
Sunday, March 18, 2012 at 12:09am by Steve

Math: Calculus - Vectors
if you take the archtan of 444.2/-313= -54.80 than +180 then it will be 125.19
Wednesday, February 20, 2008 at 5:46pm by Mike

physics-vectors
If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then: If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: a. the scaler product of the vectors must be negative b. the scaler product of the ...
Monday, August 6, 2007 at 12:33am by mekeke

Calculus III- Please Help
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. I have tried to assign each vector (b,a,c) arbitrary identities with unit vectors i,j,k, but I'm ...
Monday, January 30, 2012 at 6:28pm by Joy

college physics
vectors have direction. YOu have specified no directional vectors in your vectors.
Tuesday, September 28, 2010 at 1:15pm by bobpursley

Math: Calculus - Geometric Vectors
You first need to define a set of coordinate axis to do the problem. Let the 8 N vector be the x axis. Then the vectors that you add have the following components: 8 + 3 cos 60 = 9.5 along the x axis and 3 sin 60 = 2.598 along the y axis The magnitude of the resultant is sqrt...
Sunday, February 17, 2008 at 11:41pm by drwls

Math
Given two non-collinear vectors a and b, show that a, axb, and (axb)xa are mutually perpendicular. Also Express the unit vectors i, j, and k as ordered triplets and show that i x j = k what are ordered triplets? Using components show that u x v = -v x u for any vectors u and v.
Sunday, March 30, 2008 at 10:57am by Anonymous

Math:Calculus
Determine vector and parametric equations for the plane containing the point P0(1, -2, 3) and having direction vectors a= (4, -2, 5) and b = (-3, 3, 7). Thanks for the help.
Friday, July 4, 2008 at 2:54pm by Susie

vectors
ok theres a graph. its like this. basically theres a ray coming from the origin going up and left diagonally at about a 30 degree angle. the question says "for the following vectors draw the component vectors along the x and y axis". what do i do?!
Wednesday, August 5, 2009 at 2:24pm by jawn

Calculus/Vectors
thank you!
Tuesday, May 17, 2011 at 5:46pm by Anonymous

Calculus/Vectors :)
You're welcome!
Tuesday, May 17, 2011 at 5:46pm by MathMate

Vectors/Calculus
Thank you!
Sunday, April 7, 2013 at 6:12pm by Krista

Discrete Math - Geometric Vectors
Under what conditions will 3 vectors having magnitudes of 7, 24 and 25, respectively, have the zero vector as a resultant? I don't get this question at all.
Saturday, February 9, 2008 at 5:38pm by Anonymous

Calculus
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

Calculus and Vectors
what is g and h supposed to be?
Monday, February 27, 2012 at 6:26pm by Sally

Calculus and vectors
What is B+C=A mean?
Sunday, March 18, 2012 at 7:31pm by bobpursley

Calculus and vectors
I don't know, I think that it is A-B=C
Sunday, March 18, 2012 at 7:31pm by Melissa

vectors
If two vectors u and v fit the equation (u − v) (u − v) = uu+vv, how must these vectors u and v be related? What familiar theorem does this equation represent?
Monday, April 12, 2010 at 7:07pm by sally

linear algebra
which of the following sets of vectors span R^3? a.){(1, -1, 2), (0, 1, 1)} b.) {1, 2, -1), (6, ,3, 0), (4, -1, 2), (2, -5, 4)} c.) {(2, 2, 3), (-1, -2, 1), (0, 1, 0)} d.) {(1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1, 1)} can someone show the steps to check for one of them and i ...
Thursday, July 19, 2007 at 2:02pm by chris

calculus - vectors
Show that x dot y = 1/2 ( |x + y^2| - |x|^2 - |y|^2 )
Thursday, February 28, 2008 at 9:29pm by Michelle

Calculus
Given vectors u= (3, -4, 1) and v= (2, 1, -5) Find: a) u x v b)|u x v|
Sunday, May 16, 2010 at 10:56pm by Ariza

Summer School Calculus
I would break the two vectors into components N, and E. For instance, the N component of the first is 7cos30. Then, after finding the components, add the N, then the N. Then use trig to find the resultant. Another way is to use the law of cosines and law of sines, but I dont ...
Saturday, June 28, 2008 at 8:31pm by bobpursley

Pre-Calculus Vectors
nvm got it
Monday, April 18, 2011 at 7:34pm by PETER

Calculus and vectors-Help~David
Thank you very much!
Thursday, March 22, 2012 at 11:25pm by Jake

calculus
Find parametric equations and symmetric equations for the line through P0 and perpendicular to both given vectors. (P0 corresponds to t = 0.) P0 = (4, 3, 0) i + j and j + k Not exactly sure what to do, how do I find what is perpendicular to both vectors?
Wednesday, August 24, 2011 at 8:11pm by lines & planes

Physics
A) The work done is the scalar product of the F and d vectors. B) The cosine of the angle between the two vectors is the ratio of the scalar product (obtained in part (A)) to the product of the magnitudes os the F and d vectors. C) I do not understand why the displacement is ...
Wednesday, April 22, 2009 at 10:40pm by drwls

Vectors
You don't really even need vectors for this. It takes 2/10 hours to cross the river. In that time, the boat drifts downstream 2/10*4 = 4/5 km. Now, if you want to find the heading needed to get straight across the river, then you need some vectors.
Monday, March 12, 2012 at 10:45pm by Steve

Calculus
Prove each property using Cartesian vectors: A) (u +v) + w = u + (v + w)
Saturday, May 8, 2010 at 5:32pm by Ariza

Calculus
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

Calculus
using cartesian vectors ** forgot to include that.
Thursday, May 17, 2012 at 9:22am by j

total misunderstanding of vectorsphysics
You have made this problem impossible by the most fundamental error. You gave us scalars, not vectors! Vectors have both magnitude (scalar length) and DIRECTION !!! Without direction, the three "things" are simply not vectors and they certainly do not have components.
Friday, February 8, 2013 at 6:40pm by Damon

Math: Calculus - Geometric Vectors
LOL This proves conclusively that physicists think in vector components and mathematicians think in triangles and parallelograms.
Sunday, February 17, 2008 at 11:41pm by Damon

math
The cruising speed of a Boeing 767 in still air is 530 mph. Suppose that a 767 is cruising directly east when it encounters an 80 mph wind blowing 40 degrees south of west. Sketch the vectors for the velocities of the airplane and the wind. Express both vectors in ordered pair...
Monday, February 17, 2014 at 11:34pm by Connie

Discrete Math - Geometric Vectors
I'm lost! How do you add the following vectors? Please provide a step by step answer! 1) EA - CB + DB + AD 2) PT - QT + SR - SQ
Thursday, February 7, 2008 at 9:48pm by Anonymous

Math - equation of plane and vectors
A plane is defined by the equations x-4y+2z=16. Find two vectors parallel to the plane.
Saturday, September 4, 2010 at 4:16pm by Shaila

Math - equation of plane and vectors
A plane is defined by the equations x-4y+2z=16. Find two vectors parallel to the plane.
Sunday, September 5, 2010 at 11:27pm by Shaila

calculus (vectors)
cos 90 = 0 (orthogonal vectors have 90 in between) substitute a vector [x1 , x2, x3] for the second vector and use dot product [3, -1, 4] . [x1, x2, x3] = 0 3x1 - x2 + 4x3 = 0 then solve for xs that would work. an example would be [1, 3, 0]
Saturday, October 20, 2012 at 12:42pm by JackInTheBox

Physics
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

college Algebra/Linear Algebra
Find a Basis for each of these substances of R^4 (a) All vectors whose components are equal (b) All vectors whose component add to zero (c) All vectors that are perpendicular to (1,1,0,0) and (1,0,11) (d) The column space (In R^2) and nullspace(In R^5) of U=[1 0 1 0 1] [0 1 0 ...
Wednesday, November 3, 2010 at 10:06am by traxx

Calculus
Write u, v and w in terms of i,j and k unit vectors. The proof will be easy.
Saturday, May 8, 2010 at 5:32pm by drwls

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

calculus
What conditions must be satisfied by vectors u and v for this to be true? |u + v| >|u - v|
Monday, May 24, 2010 at 10:58pm by Abigail

Calculus & Vectors
correct on both problems. Good job.
Saturday, March 17, 2012 at 1:29am by Steve

Calculus
A rectangular prism is defined by vectors (2,0,0) (0,9,6) and (0,0,3). Find the volume.
Thursday, March 22, 2012 at 7:47pm by Melissa

Calculus
1. Find a unit vector which is perpendicular to both of the vectors m=[4, 2, -3] and n=[2, -3, 1]
Thursday, May 24, 2012 at 10:51pm by j

Calculus
2. Give that the vectors u=[2, t, -4] and v=[1, -3, t-4] are perpendicular, find the value of the constant, t.
Thursday, May 24, 2012 at 10:52pm by j

Calculus
1. Find a unit vector which is perpendicular to both of the vectors m=[4, 2, -3] and n=[2, -3, 1]
Friday, May 25, 2012 at 1:02am by j

Calculus
2. Give that the vectors u=[2, t, -4] and v=[1, -3, t-4] are perpendicular, find the value of the constant, t.
Friday, May 25, 2012 at 1:03am by j

Calculus
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

Maths-Vectors Help!
Please can you help me as I have just been introduced to your Help Forum: Determine whether the vectors u, v and w given below are linearly independent or dependent where u, v and w are non-colliner vectors such that u=2a-3b+c , v=3a-5b+2c and w=4a-5b+c. thanks. Use exactly ...
Monday, April 16, 2007 at 8:10am by Charles

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