# Math: Calculus - Vectors

150,114 results

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.

Calculus and Vectors
THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a dot b

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?

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?

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 ...

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?

Calculus/Vectors
Calculate the area of the parallelogram with sides consisting of the vectors: a = (1,2,-2) b = (-1,3,0)

Calculus and vectors
Do the vectors (2,0,1),(-2,0,0) and (2,3,0) lie on the same plane? Explain your reasoning.

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?

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

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

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.

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.)

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.

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 don't 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 ...

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

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) ...

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)

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

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?

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?

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?

Physics
Please help me with this its very hard to visualize the problem. The analytical method of adding vectors expressed in terms of their components may be applied to vectors in three dimensions, for which graphical work is inconvenient. Find the magnitude of the resultant of the ...

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 ...

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...

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?

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.

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)

Pre-calculus
An expedition walks 4 kilometers from camp on a bearing of 30 degrees, then turns and walks 10 km on a bearing of 160 degrees. Find the magnitude of the new location relative to the beginning location using vectors. -> if you can, can you possibly show how the triangle ...

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?

Calculus and vectors

Math - vectors
For what value of t are these two vectors parallel? a) r = 4i + tj and s = 14i - 12j What I Know: vectors are parallel if one is a scalar multiple of the other. I need to find a way that r and s relate by finding what number you can multiply r by to equal s. What I Don't Know...

Calulas and VECTORS
THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b

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?

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

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 ...

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

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.

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.

if a and b are unit vectors, and magnitude of vectors a +b = sq. root of 3, determine (2a-5b) dot (b+3a).

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.

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.

Math
Prove that vectors u, v and w are coplanar if and only if vectors u, v and w are linearly dependent.

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

Math vectors
What can be said about two vectors whose cross product is the zero vector?

Vectors
THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b

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?

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?

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.

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 ...

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?!

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 ...

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.

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.

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.

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.

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 ...

Calculus
How do you simplify vectors? 1)AB + BC + CD 2) BC - FE - BA + DE - DC

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...

calculus - vectors
Show that x dot y = 1/2 ( |x + y^2| - |x|^2 - |y|^2 )

Calculus
Given vectors u= (3, -4, 1) and v= (2, 1, -5) Find: a) u x v b)|u x v|

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?

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 ...

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 ...

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

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!

Calculus
Given the vectors u = <−3,7> and v = <5,1>, find -½ u. A. <-1,-4> B. <-4,-1> C. <3/2,-7/2> D. <-3/2,7/2>

Calculus
Given the vectors u = <−3, 7> and v = <5,1>, find 3u + 2v.

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 | * sin&#...

Calculus
Show that the vectors (-1,2,3), (4,1,-2) and (-14,-1,16) do not lie on the same plane

Calculus
Prove each property using Cartesian vectors: A) (u +v) + w = u + (v + w)

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

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?

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?

calculus
What conditions must be satisfied by vectors u and v for this to be true? |u + v| >|u - v|

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 triple scalar product u . (v * w) for the vectors u= (5, 9, -6) v= (5, 8, -1) w= (-2, 8, 3)

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...

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...

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...

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 | = ...

Calculus
A rectangular prism is defined by vectors (2,0,0) (0,9,6) and (0,0,3). Find the volume.

Calculus
1. Find a unit vector which is perpendicular to both of the vectors m=[4, 2, -3] and n=[2, -3, 1]

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.

Calculus
1. Find a unit vector which is perpendicular to both of the vectors m=[4, 2, -3] and n=[2, -3, 1]

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.

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

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

calculus
find the area of the parallelogram that has vectors as adjacent sides u = -2i +j +5k v = 4i -3j -3k

pre calculus
Use the following vectors to answer the question. u: <-1,7> v: <6,4> What is ||u||2?

pre calculus
Use the following vectors to answer the question. u: <-1,7> v: <6,4> What is ||v||2?

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)

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 ...

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?

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)

Calculus
Resolve u=[3,4,7] into two orthogonal vectors, one of which is collinear with v=[1,2,3].

Calculus
Resolve u=[3,4,7] into two orthogonal vectors, one of which is collinear with v=[1,2,3].

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.

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.

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