If vector a= (10,10) and vector b= (4,5) then a+b ≠ a + b. Explain. I don't understand what this question is exactly asking, and I'm not sure how to answer it. Please explain. Thank you very much!!!
31,492 results
Calculus and vectors
Vector AB is a vector whose tail is at (4,2) and whose head is at (1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (6,0) and vector CD= vector AB. Please I need some help. Is there a formula to solve

Physics
You are given vectors A = 5.0i  6.5j & B = 3.5i + 7.0j. A third vector C lies on the xyplane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector C.

Maths
The force determined by the vector r=(1,8,7) is resolved along three mutually perpendicular directions, one of which is in the direction of the vector a=2i+2j+k. Then the vector component of the force r along vector a is

Calculus
Find the position vector of a particle whose acceleration vector is a = (1, 2) with an initial velocity vector (0, 0) and initial position vector (1, 0). (10 points) Please give explanation and show work. Thank you so much!

gen. physics II
Two charges, +Q and ‑Q, are located two meters apart and there is a point along the line that is equidistant from the two charges as indicated. Which vector best represents the direction of the electric field at that point? a. Vector EA b. Vector EB C.

Calculus
Find the velocity vector for a particle whose position vector is vector components 2t, 5 for all t. (10 points) A) vector components 2, 0 B) vector components t squared, 5 times t C) vector components t cubed over 3, 5 times t squared over 2 D) the square

physics
i don't see this in my book in a coordinate system, a vector is oriented at angle theta with respect to the xaxis. The y component of the vector equals the vector equals the vector's magnitude multiplied by which trigonometric function?

mechanics and heat
if the cross product of vector A and vector B is 8i14j+k and the difference of vector A and vector B is 5i+3j+2k,then find the value of vector A and vector B.

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?

Physics
A stone is shown at rest on the ground. A. The vector shows the weight of the stone. Complete the vector diagram showing another vector that results in zero net force on the stone. B. What is the conventional name of the vector you have drawn?

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

physics
Vector vector A has a magnitude of 27 units and points in the positive ydirection. When vector vector B is added to vector A , the resultant vector vector A + vector B points in the negative ydirection with a magnitude of 18 units. Find the magnitude of

Physics
You are given vectors A = 5.0i  6.5j and B = 2.5i + 7.0j. A third vector C lies in the xyplane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Answer key shows x component is

Vectors
Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises.

Physics
4. Which of the following is an accurate statement about vectors? A. Rotating a vector about an axis passing through the tip of the vector does not change the vector(definitely not right) B. The magnitude of a vector can be zero even if one of its

math vectors
Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3space to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c. Can you help me think of an

Precalc
A line in space has the vector equation shown here. Fill in the blanks to find the position vector to the fixed point on the line that appears in the equation: vector r=(5+(6/11)d)vector i + (3+(9/11)d)vector j + (7+(2/11)d)vector k vector v= _____ vector

Physics
In a coordinate system, a vector is oriented at angle theta with respect to the xaxis. They y component of the vector equals the vector's magnitude multiplied by which trig function? ... please explain

Vectors
Explain why it is not possible for Vector a • (Vector b • Vector c) to equal (Vector a • Vector b) • Vector c . (This means that the dot product is not associative.)

Calculus
What does this mean? For any vector Vector a find Vector a × Vector a. Explain why (this is cross product stuff). Thanks

Physics
The three vectors have magnitude a =3m, b= 4m and c=10m . On the x axis is vector a at 0 degrees then 30 degrees is vector b then 120 degrees is vector c. If vector c =p*vector a + q*vector b .What are the values of p? and q? I am expose to get 6.67 for p

Vectors
Use a specific example to explore how the cross product behaves under scalar multiplication. Is it true that k(Vector a × Vector b) = (kVector a) × Vector b = Vector a × (kVector b)? Expand to the general case to prove your theory.

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

Math  vectors
In the product F(vector)=q(V(vector)xB(vector), take q = 4, V(vector)= 2.0i + 4.0j + 6.0k and F(vector)= 136i 176j + 72k. What then is B(vector) in unitvector notation if Bx = By?

Calculus and vectors
Vector AB is a vector whose tail is at (4,2) and whose head is at (1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (6,0) and vector CD= vector AB. Please I need some help. Is there a formula to solve

Physics
A farmer builds three sections of a fence as shown in the figure where L = 10.00 m, and gets tired. Walking straight back to where he started, how far did he go. d=? Vector on Yaxis going to origin, L/2 vector going on Positive X Axis, vector going up L

Vectors
Verify using a specific example that (Vector a + Vector b) × (Vector a – Vector b) = 2(Vector b×Vector a). Expand to the general case to prove that the result is always true.

jane
1. a centripetalacceleration addict rides in uniform circular motion with period T=2s and radius r=3m. at t1 his acceleration vector= 6(m/s^2)i + 4(m/s^2)j. At that instant, what are the values of vector b (dot) vector a and vector r (dot) vector a All I

Linear Algebra  Vector Spaces and Vector Subspace
Can I have help with the following question related to the concept vector 'subspaces'? Question : Let X and Y be vector subspaces of a vector space V over a field F, (V,+,•,F). Prove that the intersection of X and Y is also a vector subspace of V. (1)So

Math
Use a specific example to explore how the cross product behaves under scalar multiplication. Is it true that k (Vector a × Vector b) = (kVector a) × Vector b = Vector a × (kVector b)? Expand to the general case to prove your theory.

Physics
A stone is shown at rest on the ground. A. The vector shows the weight of the stone. Complete the vector diagram showing another vector that results in zero net force on the stone. B. What is the conventional name of the vector you have drawn?

physcis
A stone is shown at rest on the ground a vector shows the weight of the stone. complete the vector diagram showing another vector that results in zero net force on the stone. b. what is the conventional name of the vector you have drawn

Physics
A stone is shown at rest on the ground. A. The vector shows the weight of the stone. Complete the vector diagram showing another vector that results in zero net force on the stone. B. What is the conventional name of the vector you have drawn?

calculus
State whether or not the following statements are true. Justify your reasoning.? a. Vector a • (Vector b + Vector c) = Vector a • Vector b + Vector a • Vector c b. Vector a × (Vector b + Vector c) = Vector a × Vector b + Vector a × Vector c c.

Vectors
Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). Explain the problem that arises

Physics
When two vectors vector A and vector B are drawn from a common point, the angle between them is phi. If vector A and vector B have the same magnitude, for which value of phi will their vector sum have the same magnitude as vector A or vector B?

Physics
Part A of this question asks for the sum of vector A = 3x+5y and vector B = 1x3y. I did this and got the vector A + vector B = 4x+2y. Part B then asks what the magnitude and direction of vector A + vector B? The answer in the back of the textbook says

Vectors Math
For any vector Vector a find Vector a × Vector a. Explain your result.

Physics
In a coordinate system, a vector is oriented at angle theta with respect to the xaxis. They y component of the vector equals the vector's magnitude multiplied by which trig function? ... please explain

physics
The drawing shows a force vector vector F that has a magnitude of 600 newtons. It lies at alpha = 67° from the positive z axis, and beta = 31° from the positive x axis. (that's the diagram given) webassign. (delete this space) net/CJ/p139alt.gif (a)

Vectors
Verify (Vector a + Vector b) × (Vector a + Vector b) = 0⃗ . What can be said about two vectors whose cross product is the zero vector?

University Physics
If vector B is added to vector C = 6.7 + 6.9, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of vector C. What is the magnitude of vector B?

Mamthematics  Vectors
a) If vector u and vector v are noncollinear vectors show that vector u, vector u cross product vector v and (vector u cross product vector v) cross product vector u are mutually othogonal. b) Verify this property using vectors collinear with the unit

maths
Given that vector c and vector d are non zero vectors such that vector c =x1i + y1j + z1k and vector d =(y1z2y2z1)+(x1y2 x2y1)show that the two vectors are perpendicular.

Physics or Math
A force F = 0.8 i + 2.5 j N is applied at the point x = 3.0 m, y = 0 m. Find the torque about the point x = 1.3 m, y = 2.4 m. Hmm, (this is essentially just a vector problem) I know you're supposed to find the position vector r and take the cross product

physics
Any vector can be written as a unit vector multiplied by the magnitude of the vector (a positive scalar). Write each of the following vectors as the magnitude of the vector times the appropriate unit vector: < 0.00330, 0, 0.00330 >

Vactors 12
Let A and B be any two points on the plane and O be the origin. Prove that vector AB = vector OB  vector OA. Let x be any other point on the plane prove that vector AB = vector xB  vector xA.

maths
A vector A points vertically downward and vector B points towards east, then the vector product vector A × vectorB is

cartesian vectors 2
let vector U = (vector u1, vector u2) vector V = (vector v1, vector v2) and vector W = (vector w1, vector w2) Prove each property using Cartesian vectors: a) (vector U+V)+W = vector U+(v+W) b) k(vector U+V) = k vector U + k vector V c) (k+m)vector U = k

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

Physics
Let vector A = 4i^ + 4j^, vector B = 2i^  5j^, and vector F = vector A  5(vector B). a) Write vector F in component form. vector F = ? b) What is the magnitude of vector F? F = ? c) What is the direction of vector F? theta = ? Thank you!

Physics
Let vector A = 4i^ + 4j^, vector B = 2i^  5j^, and vector F = vector A  5(vector B). a) Write vector F in component form. vector F = ? b) What is the magnitude of vector F? F = ? c) What is the direction of vector F? theta = ? Thank you!

Calc: PLEASE HELP!
How can this be proven! I have tried so many ways! PLEASE help! Verify using an example that Vector a + (Vector b • Vector c) = (Vector a • Vector b) + Vector c? Explain your reasoning.

College Physics
Vector Algebra let A vector=6ihat+3jhat, B vector= 3ihat6jhat D vector=A vectorB vector what is D vector? Thank You!

Vectors
Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3sapce to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c.

Physics
If vector a and b are two non collinear unit vectors and vector a+ vector b=√3 then find the value of ( vector a vector b).(2 vector a+ vector b)

Calculus and Vectors
(6) Consider the vectors Vector a=(1,2,3) and Vector b=(3,0,2). (a) Determine the projection of Vector a onto Vector b. (b) A unit vector is a vector of length 1. Determine a simplified unit vector in the same direction as Vector a .

Calc. for Reiny
this can be done by projections of two vector. recall that the scalar projection of vector b on vector a is a∙b/│a│ so let's find a point on the give line, e.g. the point B(6,0,1) (I let t=0) draw a perpendicular from your given point P(1,5,2) to

physics
Vector vector A has a magnitude of 6.90 units and makes an angle of 46.5° with the positive xaxis. Vector vector B also has a magnitude of 8.00 units and is directed along the negative xaxis. Using graphical methods find the following. (a) The vector

Calculus and Vectors
If ∣Vector x∣=8, ∣Vector y∣=13 and ∣Vector x + Vector y∣=15, determine ∣Vector x  Vector y∣. You may want to draw a diagram to help with your solution.

Vectors
For any vector Vector a find Vector a × Vector a. Explain your result.

Vectors Math
For any vector Vector a find Vector a × Vector a. Explain your result.

Math: Vectors  Collinear
Can you please check whether my answers are correct? If they aren't, how would you find if the points are parallel to one another with 3 coordinates? Using vectors, demonstrate that these points are collinear. a) P(15 , 10) Q(6 , 4) R(12 , 8) Vector PQ =

chemistry
The tail of A vector is fixed to the origen of an X, Y axis system.Originally the vector points along the X axis. As time passes, the vector rotates counterclockwise. Describe how the sizes of the X and Y components of the vector compare to the size of the

physics [vectors]
The concept i get, but somehow i just can't execute this problem, please help me! You are given vectors A = 5.5 6.2 and B =  3.7 7.4 . A third vector C lies in the xyplane. Vector C is perpendicular to vector A and the scalar product of C with B is 19.0.

Math
A straight line l is parallel to a vector a and passes through a point B whose position vector is b. The point C has position vector c and vectoe p os the position vector of the foot of the perpendicular drawn from C to l. Prove that p = [ (cb)a ]/( 

mathcomplex numbers
If z = 3+4i, determine the following related complex numbers. a)vector z b)3(vector z) c) 1/(vector z) d) z e) vector z f) (vector z)/(z^2)

mathematical physics
Show that the angular momentum vector(L)=vector(r)×vector(p) vector is an axial vector

physics
Vector has a magnitude of 122 units and points 37.0 ° north of west. Vector points 64.0 ° east of north. Vector points 17.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of (a)

Physics
For the three vectors A+B+C= 1.4i. Vector A is 4i and vector C is 2j. Write vector B as components separated by a comma. What is the magnitude of vector B? How many degrees above the negative xaxis does vector B point? Measure the angle clockwise from

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

science(physics)
vector a+ vector b= 2i Vector a+ vector b=4j Then the angle between vector a and vector b is ? Plz.solve

Vectors
a) Let Vector a = (3, 4, 1), Vector b = (5, 2, 3) and Vector c = (0, 1, 3). Find the triple product, Vector a • (Vector b × Vector c).

Linear Algebra
Demonstrate that the proyection of a vector U over a vector V is parallel to the vector the vector U. I used the formula of proyection and I argued that as the final result is a number multiplied by the vector U then it is parallel. I need help to verify

Physics
partscoretotalsubmissions110/1210/1310/1410/14The tail of a vector is fixed to the origin of an x, y axis system. Originally the vector points along the +x axis. As time passes, the vector rotates counterclockwise. Describe how the sizes of

Physics
Which of the following is an accurate statement? a) a vector cannot have zero magnitude if one of its components is not zero b) the magnitude of a vector can be less than the magnitude of one of its componenets c) if the magnitude of vector A is less than

Physics
Vector a has a magnitude of 5 m and is directed esast. Vector b has a magnitude of 4 m and is directed 35 degrees west of north. What are the (a) magnitude and (b) the direction of vector a + vector b? What are the (c)magnitude and (e)direction of vector b

physics
Vector has a magnitude of 136 units and points 35.0 ° north of west. Vector points 69.0 ° east of north. Vector points 19.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of (a)

physics
Vector has a magnitude of 113 units and points 34.0 ° north of west. Vector points 63.0 ° east of north. Vector points 17.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of (a)

maths
The position vector of m in the same plane are as the point a and b is given by m=1÷2(a+b).if the vector A(4,3),B(2,1).What is the direction and the relationship of vector AM and vector BM

Vectors Math
For any vector find Vector a × Vector a. Explain your result.

PreCalculus
determine the projection of u = 1.6 vector i + 3.3 vector j in the vector v = 2.1 vector i  0.5 vector j direction

mathematical physics
Given two vector function vector a(t)=(2t+3)i^+(t^22)j^+tk^ and vector b(t)=(4t)i^+(3t^3+1)j^+(2t1)k^, determine the derivative of vector a(t).vector b(t) at t=1.

maths
Let vector a and b be two nonnull vectors such that vector a +b =vector a2b then the values of vector a / vector b may be:

Physics
If the expression for a given vector is Vector AVector B=(45)i^+(3+2)j^ and the magnitude of the difference of the vector is equal to 5.1. What is the direction of the difference Vector A  Vector B. (in the counterclockwise and +x direction)

Vectors
If Vector a = (5, 5, 3), Vector b = (1, 2, 3), determin proj (Vector a onto Vector b). (Full solutions)

Vectors Math
If Vector a = (5, 5, 3), Vector b = (1, 2, 3), determin proj (Vector a onto Vector b). (Full solutions)

Physics
Let vector A = (6.0 m, 300 south of east), vector B = (13.9 m, north), vector C = (5.0 m, 450 south of west). Find the magnitude of vector D = A+B+C?

physics
Displacement vectors A,B,and C add up to a total of zero. Vector A has a magnitude of 1550 m and a direction of 24.1° north of east. Vector B has a direction of 41.0° east of south, and vector C has a direction of 33.4° north of west. Find the

physics
Displacement vectors A, B, and C add up to a total of zero. Vector A has a magnitude of 1550 m and a direction of 22.9° north of east. Vector B has a direction of 41.0° east of south, and vector C has a direction of 35.2° north of west. Find the

Calculus
a square is defined by the unit vectors i(vector) and j(vector). FInd the projections of i(vector) and j(vector) on each of the diagonals of the square.

Physics
I have a question about a vector addition problem using the polygon method. Vector 1 has a magnitude of .1 and theta of 30 degrees. Vector 2 has a magnitude of .2 and a theta of 90 degrees. Vector 3 has a magnitude of .3 and a theta of 225 degrees. I'm

AP Physics 1 Momentum
I have a selectmultiple question, and I am not sure about everything and I only get one try in my online class...would really appreciate if you could please explain which to select: What is true about momentum value? a)When you muliply mass (a scalar) by

Math
Hi, 3D GEOMETRY (P) a surface. (AB), (AC), (BC) lines that intercept the surface in three points M1, M2, M3. We have Vector(M1A) = k1 * Vector(M1B) Vector(M1C) = k2 * Vector(M1A) Vector(M1B) = k3 * Vector(M1C) Show that k1*k2*k3=1. Thanks!

physics
You are given a vector in the xy plane that has a magnitude of 94.0 units and a y component of 44.0 units. A. What are the two possibilities for its component? For this part I got x = 83.1 and 83.1 B. Assuming the x component is known to be positive,

Physics
The acceleration of a particle moving only on a horizontal xy plane is given by , where is in meters per secondsquared and t is in seconds. At t = 0, the position vector locates the paticle, which then has the velocity vector . At t = 3.60 s, what are (a)

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

Precalc
Given the plane 3x+2y+5z=54 and the points P0(6, 8, 4)[on plane] and P1(13, 18, 5) [not on plane] A. Find vector n, a vector normal to the plane B. Find vector v from P0 to P1 C. Find the angle between vector n and vector v D. Find p, the scalar projection

sciencde
Vector A has a magnitude of 248 N and direction angles of α = 85°, β = 114°, and γ = 25°. Express Vector A in unit vector notation.

physics
if vector a is fixed but vector b can be rotated in any direction. what should be the angle of vector b to give the maximum resultant sum