For each pair of vectors Calculate proju and the vector component of u orthogonal to V. a7 u=(3,1,-7) ,v= (1,0,5)

Q: Find the vector v with the given length and the same direction as u.||v|| = 4, u = (−1, 1)

A: To find a vector v with the given magnitude of ||v|| = 4 and in the same direction as u = (−1, 1).

Q: Let v = (8, 15). a. Find a vector in the direction of v that is three times as long as v. b. Find a…

A: Given vector

Q: For the pair of vectors, find U + V, UV, and 3U - 4V. U = (-7, 0), V = (0,5) U + V = U-V= 3U - 4V =

A:

Q: Express the given vector in terms of the unit vectors i, j, and k. (2, -5, 0)

A:

Q: For what values of b are the vectors and orthogonal?

A:

Q: Find a unit vector in the direction of the given vector. v=(-6,6)

A:

Q: Find a vector v such that ||v|| = 20 and v is in the same direction as 15i + 15j

A:

Q: Write the following vector as a linear combination of the unit vectors i and j. (-4,Radical 2)

A: We need to the following vector as a linear combination of the unit vectors i and j

Q: Find the component form of the vector.The vector PQ , where P = (1, 3) and Q = (2, -1)

A:

Q: 2. For the vectors u = -5i + k and v = 3j - 4k, find a. (u · v)u b. u - 3v

A:

Q: A. Find the values of a such that vectors and are orthogonal .

A: According to bartleby expert policy only one individual question is to be answered. Kindly repost…

Q: Let vi, ..., v be vectors, and suppose that a point mass of m,, ..., m, is located at the tip of…

A: Given: u1=-1, 0, 2   and     m1=2u2=2, 1, -3   and     m2=1u3=0, 4, 3       and     m3=4u4=5, 2, 0…

Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 - 2 4 t = 0 , u = 5 , v =…

A: We use the definition of the linear combination of vectors to answer the given question.

Q: Find the component form of the resultant vector. 1) u =(-11, 2) b=(10,-4) Find: -u - b

A: As per guidelines, we'll solve only one question if multiple questions are asked. If you need any…

Q: Express the vector in the form (V= a i+ b j+ c k) *, if A(1,0,3) and B is (-1,4,5): * V= -2 i+ 4 j…

A:

Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

Q: Let j = | and ü .Write j as the sum of two orthogonal vectors, it -2. %3D an {u} and ¤2 orthogonal…

A: Given:- →y=-69  →u=5-2

Q: For what values of c are the vectors [-8, c, 4] and [c, c²,c] orthogonal?

A: For orthogonal,dot product of vectors is equal to zero.

Q: 1. Assume the lengths of the vectors 2a – b and a + 3b , assuming a = (2,1,3) and b = (-1,2,2)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find a vector and unit vector perpendicular to each of the vector A + B and A – B,

A:

Q: Determine all vectors v that are orthogonal to u. (Set v, = t and v3 = s and solve for v, in terms…

A:

Q: Determine all vectors v that are orthogonal to u. (Set v, = t and v3 = s and solve for v2 in terms…

A:

Q: The vectors u and v are ________ if and only if u ∙ v = 0.

A: If the dot product of two vectors is zero ,                    If and only if they are orthogonal;…

Q: find the given vector. Unit vector in the direction opposite to v = (−4, 4, 2)

A: Given, v=-4, 4, 2

Q: 17 (c) Find a unit vector which is orthogonal to the vectors -1 2 and 1 -3 5

A: First we will find a vector which is orthogonal to both given vectors and then we will find the unit…

Q: 5. For each pair of vectors, calculate proj„u and the vector component of u orthogonal to v. (a) u =…

A: The given vectors are,u=(3,1,-7) and v=(1,0,5)

Q: express each vector in the form v = y1i + y2j + y3k. 5u - v if u = <1, 1, -1>and v = <2, 0,…

A: Given vectors

Q: Find the component form of the vector v given ||v|| = 12 following the direction of u (3, –5)

A: Find the component form of the vector v given ||v|| =12 following the direction of u = (3,-5)

Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v simple

A: Given vectors are u=<3,2>and <9,1> Now, we will find the given value.…

Q: Given vector U= ⟨3,1⟩ and V=⟨-4,3⟩, find a linear combination of the vectors u and v of the form aU…

A: Solving simply equations and find the value of a and b by compairing both side of vector

Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 3u…

A: u=-3, 4 & v=2, -5 a). 3u-4v=3-3, 4-42, -5=-9, 12-8, -20=-9-8, 12--20=-17, 32

Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 5v

A: Given that u=-3, 4  and  v=2, -5. This implies that, 5v=5·2, -5=5·2, 5·-5=10, -25 Thus, the…

Q: Find the vector v and illustrate the specified vector operations geometrically, where u = (−2, 3)…

A: We need to find vector v for which  If, u = (−2, 3) and w = (−3, −2)

Q: Determine whether the vector v is a linear combination of the remaining vectors. v = 3

A: (1).  The given vectors are: v→=12 ,  u1→=-1   3    and    u2→=   2-3

Q: Draw the vectors in standard position in R2 with their tails at the point (2, -3).

A:

Q: Given that a = (-10,9,13) and b = (14,–6,12), а. i) ii) compute the dot product. find a vector…

A: (i) Given  a→=-10i→+9j→+13k→b→=-14i→-6j→+12k→ Then,  a→.b→=-10i→+9j→+13k→.-14i→-6j→+12k→…

Q: A. Find the values of a are orthogonal . such that vectors and

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Use the vectors u = (2, 2), v = (-5, 1), and w = (2, -2) to find the indicated quantity. (v . u) –…

A: Given that u=2,2,  v=-5,1  and  w=2,-2.. Compute v·u as follows. v·u=-5,1·2,2=-52+12=-10+2=-8

Q: Find the vector v with the given length and the same direction as u. ||v|| = 3, u = (1, 1) V =

A:

Q: Given a vector v with initial point P(5,12) and terminal point Q(−2,−12), write the vector in terms…

A: vector with initial p1,p2 and                 terminal (q1,q2)is given by v=<q1-p1,q2-p2>

Q: Find a so that the vectors v=i- aj and w = 7i- 10j are orthogonal. (Type an integer or a simplified…

A:

Q: Consider the vectors x1 = (2, 1)T and x2 = (6, 3)T . Determine the length of each vector.

A: Given: x1=2i+j, x2=6i+3j we know that for any given vector v=ai+bj, length l of vector is given by…

Q: Express the given vector in terms of the unit vectors i, j, and k. (14, 0, 4)

A: Given,  Vector < 14, 0, 4>

Q: a a

A: For first figure. a→+a→+b→+d→-c→=02a→=-b→-d→+c→a→=-b→-d→+c→2    Answer

Q: Use the given vectors to compute u + v, u – v, and 2u u = (4, -3), v = (7, 9) u + v = u - v = 2u -…

A:

Q: Determine if the vectors t= %3D(-16, 24) and s= (3, 2). are orthogonal, parallel, or neither.

A: We have to calculate dot product and magnitude of the given vectors

Q: Find a unit vector u in the direction opposite of v = (2,8,-3).

A: Solution ) v =  { 2 , 8 , -3 }   vector with same magnitude and opposite direction   = { -2 , -8 , 3…

Q: Find the angle a between the vectors 3 a || -1 -2 - and 1

A:

Q: find the component form of the vector. The vector PQ, where P = (1, 3) and Q = (2, -1)

A: The component form of a vector XY with X=x1,y1 and Y=x2,y2 is defined as follows: <x2-x1,…