# Math: Calculus - Vectors

150,869 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?

### 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 and Vectors

Determine the net result of a 35 N force and a 20 N force acting on an object at an angle of 125° to each other, using components. I know that when I draw the vectors, I use parallelogram law to determine the complimentary angle, and I got 55degrees. However, on the answers, ...

### 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

### 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 (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!

### 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?

### 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.