Thursday

July 28, 2016
Number of results: 135,712

**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.
*April 28, 2010 by Jackiee*

**Calculus and Vectors**

THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a dot b
*May 11, 2013 by Johnny*

**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?
*March 23, 2012 by Melinda*

**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 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 ...
*March 18, 2012 by Melissa*

**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?
*January 1, 2013 by bhawani*

**Calculus/Vectors**

Calculate the area of the parallelogram with sides consisting of the vectors: a = (1,2,-2) b = (-1,3,0)
*May 17, 2011 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.
*March 26, 2012 by Melinda*

**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?
*February 13, 2008 by Anonymous*

**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
*November 21, 2010 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
*November 21, 2010 by karla*

**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.
*January 5, 2013 by raja*

**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.)
*August 31, 2011 by colt*

**Math**

Let a, b, and c be unit vectors, such that a+b+c=0. Show that the angle between any two of these vectors is 120 degrees. I proved this geometrically, but now my teacher wants a proof using vectors, and I don't know what to do.
*June 7, 2016 by Katie*

**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
*March 23, 2012 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) ...
*January 23, 2011 by Brittany*

**Calculus**

How would I find the equilibrant of three vectors? I am given a graph of three different vectors which meet at the point (0,0)
*April 30, 2015 by Sara*

**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 ...
*August 23, 2012 by alana*

**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
*March 22, 2012 by Jake*

**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*

**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?
*July 2, 2008 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?
*April 17, 2012 by Jake*

**Calculus**

Sketch the vector field F⃗ (r⃗ )=2r⃗ in the plane, where r⃗ =⟨x,y⟩. Select all that apply. A.All the vectors point away from the origin. B. The vectors increase in length as you move away from the origin. C. All the vectors point toward ...
*October 10, 2015 by A*

**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...
*February 17, 2008 by Anonymous*

**Physics**

2 vectors have same magnitude.The magnitude of the resultant vector of these 2 vectors are same as either of both vectors.What is the angle between 2 vectors?
*November 21, 2014 by Tangy*

**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.
*January 29, 2009 by Joanie*

**Calculus**

a) Prove that |A|^2 = A•A 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)
*September 6, 2008 by Mark*

**Science**

2 vectors have same magnitude.The magnitude of the resultant vectors is same as either of both vectors.What is the angle between 2 vectors?
*November 21, 2014 by Tangy*

**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...
*March 26, 2012 by Melinda*

**Calulas and VECTORS**

THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b
*May 19, 2010 by z...........................*

**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?
*July 4, 2008 by MileyWannabe*

**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
*March 18, 2012 by Melissa*

**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 ...
*June 9, 2010 by Alicia*

**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
*September 27, 2012 by cody*

**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.
*September 10, 2012 by horre*

**Grade 12 Math**

if a and b are unit vectors, and magnitude of vectors a +b = sq. root of 3, determine (2a-5b) dot (b+3a).
*May 8, 2014 by Melissa*

**Math**

if vectors a+2b and 5a-4b are perpendicular to each other and a and b are unit vectors. Find the angle between a and b.
*February 21, 2016 by Rabin *

**Math**

Prove that vectors u, v and w are coplanar if and only if vectors u, v and w are linearly dependent.
*April 18, 2008 by Tess*

**Math vectors**

For which of the following conditions will the cross 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 45°. d) If the vectors have the same magnitude.
*February 26, 2015 by Sheliza*

**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.
*May 2, 2011 by Becky*

**Math vectors**

What can be said about two vectors whose cross product is the zero vector?
*February 27, 2015 by raymon*

**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
*September 22, 2009 by parth*

**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?
*March 1, 2013 by dave*

**Vectors**

THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b
*May 11, 2013 by Johnny*

**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.
*July 4, 2008 by Susie*

**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?
*August 24, 2011 by lines & planes*

**Calculus III- Please Help**

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. I have tried to assign each vector (b,a,c) arbitrary identities with unit vectors i,j,k, but I'm ...
*January 30, 2012 by Joy*

**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?!
*August 5, 2009 by jawn*

**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 ...
*August 6, 2007 by mekeke*

**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.
*February 9, 2008 by Anonymous*

**Math**

The position vectors for points P and Q are 4 I + 3 j + 6 j + 6 k respectively. Express vector PQ in terms of unit vectors I, j and k. Hence find the length of PQ, in simplified surd form.
*February 22, 2015 by kudu*

**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.
*March 30, 2008 by Anonymous*

**Science**

Two equal vectors are working at a point.The resultant is equal to one of those vectors.Prove that the resultant bisects the angle between the vectors.
*March 14, 2016 by Julekha*

**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 ...
*April 16, 2007 by Charles*

**Calculus**

How do you simplify vectors? 1)AB + BC + CD 2) BC - FE - BA + DE - DC
*September 22, 2015 by Anonymous*

**Calculus**

How do you simplify vectors? 1)AB + BC + CD 2) BC - FE - BA + DE - DC Calculus - Steve, Tuesday, September 22, 2015 at 11:39pm AB+BC = AC so, AB+BC+CD = AD BC-DC = BC+CD = BD See if you can use that idea to rearrange +/- terms so the ends line up in order Calculus - Anonymous...
*September 22, 2015 by Anonymous*

**calculus - vectors**

Show that x dot y = 1/2 ( |x + y^2| - |x|^2 - |y|^2 )
*February 28, 2008 by Michelle*

**Calculus**

Given vectors u= (3, -4, 1) and v= (2, 1, -5) Find: a) u x v b)|u x v|
*May 16, 2010 by Ariza*

**vectors**

If two vectors u and v fit the equation (u − v) • (u − v) = u•u+v•v, how must these vectors u and v be related? What familiar theorem does this equation represent?
*April 12, 2010 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 ...
*July 19, 2007 by chris*

**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
*February 7, 2008 by Anonymous*

**physics**

Given the vectors = (19 cm, -7 cm) in green and = (-23 cm, 9 cm) in blue shown on the grid below, calculate the magnitude of the vectors described below and select the correct sketch for each from the choices below. The tail-to-head method is used to represent the operations ...
*October 15, 2013 by butcha*

**Math (Vectors)**

Determine the values of a and b in the following vectors for the indicated property. m=<10,a,15> and n=<2,-3,b> and vector m is parallel to vector n. Thanks in advance!
*May 26, 2016 by Ray*

**math: Calculus - Algebraic Vectors**

A light plane is travelling at 175 km/h on a bearing of N8°E in a 40 km/h wind from N80°E. Determine the plane's ground velocity using algebraic vectors. The answer for this question is: 167 km/h , N5°W ---------------- My Work: (a , b) = ( | r | * cosθ , | r | * sinθ...
*February 18, 2008 by Anonymous*

**Math Vectors**

Verify (a + a) × (a+ b) = 0⃗ . What can be said about two vectors whose cross product is the zero vector a x b = i j k 3 -3 1 -12 12 -4 = i ( (-3) · (-4) - 1 · 12 ) - j ( 3 · (-4) - 1 · (-12) ) + k ( 3 · 12 - (-3) · (-12) ) = = i ( 12 - 12 ) - j ( (-12) - (-12) ) + k ( ...
*February 27, 2015 by NoName*

**Math: Vectors**

I forgot how to do the following, so I'm not sure if they're correct or not: Find the work done by a force "F" that causes a displacement "d". i and j = unit vectors a) F = 4i + j d = 3i + 10j W = (4i + j)(3i + 10j) W = 12|i|^2 + 40ij + 3ij + 10|j|^2 W = 12(1) + 40(0) + 3(0...
*February 24, 2008 by Anonymous*

**Calculus**

Show that the vectors (-1,2,3), (4,1,-2) and (-14,-1,16) do not lie on the same plane
*April 28, 2010 by Blazon*

**Calculus **

Prove each property using Cartesian vectors: A) (u +v) + w = u + (v + w)
*May 8, 2010 by Ariza*

**Calculus **

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

**calculus**

Given vectors u= (t, 2t, 3) and v=(2t, 5t, -1). For what values of t a) are u and v parallel? b) are u and v perpendicular?
*May 16, 2010 by Ashley*

**Calculus**

Given vectors u= (t, 2t, 3) and v=(2t, 5t, -1). For what values of t a) are u and v parallel? b) are u and v perpendicular?
*May 24, 2010 by Ria*

**calculus**

What conditions must be satisfied by vectors u and v for this to be true? |u + v| >|u - v|
*May 24, 2010 by Abigail *

**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*

**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...
*February 17, 2014 by Connie*

**Math: Calculus - Vectors**

Two forces of 90 N act on an object. The forces make an angle of 48 degrees to each other. Calculate the resultant force and the force that must be applied to the object to create equilibrium. My work, using geometric vectors: | r |^2 = 90^2 + 90^2 - 2(90)(90)cos132 | r | = ...
*February 19, 2008 by Anonymous*

**Calculus**

A rectangular prism is defined by vectors (2,0,0) (0,9,6) and (0,0,3). Find the volume.
*March 22, 2012 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]
*May 24, 2012 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.
*May 24, 2012 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]
*May 25, 2012 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.
*May 25, 2012 by j*

**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*

**Calculus**

If 3(a,3,2)-2(3,b,b)=(-3,1,-2) determine a and b. Describe the set spanned by the vectors. I don't know how to answer this
*April 30, 2015 by Sara*

**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*

**Math: Vectors**

Find any vector w that is perpendicular to both vector "u = 3j + 4k" and vector "v = 2i". Note: i, j and k are unit vectors How would you solve this problem? Please walk me through?
*February 26, 2008 by Anonymous*

**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 ...
*November 3, 2010 by traxx*

**Please Help asap for math**

Given the following: vector u= [-2,-1,2] and vector v=[1,-1,-4] and vector w= [4,3,-2] find: a)theta, the angle between vectors, u and w. b)Are the vectors, u, v, and w coplanar?Show your answer algebraically.
*October 24, 2014 by Tina*

**Calculus **

Resolve u=[3,4,7] into two orthogonal vectors, one of which is collinear with v=[1,2,3].
*May 23, 2010 by Arima *

**Calculus **

Resolve u=[3,4,7] into two orthogonal vectors, one of which is collinear with v=[1,2,3].
*May 23, 2010 by Arima *

**Calculus**

3. Determine that the vectors u=[t, 4, 2t+1] and v=[t+2, 1-t, -1] are perpendicular, find the possible values of the contant, t.
*May 24, 2012 by j*

**Calculus**

3. Determine that the vectors u=[t, 4, 2t+1] and v=[t+2, 1-t, -1] are perpendicular, find the possible values of the contant, t.
*May 25, 2012 by j*

**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*

**Pre-calculus/ trig**

Given the vectors a= (-1,9) and b= (4,2) explain the difference between a-b and b-a. Thank you for your help! :)
*December 17, 2015 by Rachel*

**perpendicular vectors**

Find two unit vectors each of which is perpendicular to vectors (1, 1, 0) and (1,0,1) What I did: a x b = (1, -1, -1) |axb|=square toot 3 correct answer is +/- (1/√3 - 1/√3 - 1/√3) or =+/- 1/√3 (1, -1, -1)
*February 11, 2015 by annonymous*

**Math - equation of plane and vectors**

A plane is defined by the equations x-4y+2z=16. Find two vectors parallel to the plane.
*September 4, 2010 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.
*September 5, 2010 by Shaila*

**calculus**

The area of the parallelogram formed by the vectors p = (a, 1, -1) and q = (1, 1, 2) is root 35. Determine the values of 'a' for which this is true.
*May 24, 2010 by Anonymous*

**Calculus**

Determine the value(s) of k such that the area of the parallelogram formed by vectors a = (k+1, 1,-2) and b =(k,3,0) is [sqrt(41)]
*April 2, 2012 by Jake*

**Calculus grade 12**

Explain why three directional vectors of the plane cannot me mutually perpendicular .
*May 3, 2012 by J*

**Calculus grade 12**

Explain why three directional vectors of the plane cannot me mutually perpendicular .
*May 4, 2012 by J*