3 Compute the projection of i on ū = 1 proj, v =

Q: If v = 2i - 5j and w = i - j, find the vector projection of v onto w.

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Q: 1.10 If A = -a, + 6a, + 5a, and B = a, + 2a, + 3a,, find: (a) the scalar projections of A on B. (b)…

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Q: Represent the vector with respect to each of the two bases { ] y = B = B2 =

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Q: 1. Letz =1+i,1,=-1+i, locate the numbers z+ z, and , vectorially in the rectangular coordinate…

A: We are Given that : z1=1+iz2=-1+i ⇒z1+z2=(1+i)+(-1+i)=2i and  ⇒z1-z2=(1+i)-(-1+i)=1+i+1-i=2

Q: -U 1. Let the vector u = -i +3j+k, find 12

A: Solution :

Q: 2 5 Let y = [?], "-[-³s] u= -5 orthogonal to u. a. b. G d. NOT NIGT NIN NÍN NIGT NIW NIO NIW + + +…

A: We have to find:Write y as a sum of two orthogonal vectors, one in span {u} and one orthogonal to…

Q: Find the projection ofv onto u

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Q: find the projection of u along v  u = i + 29k, v = j

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Q: Let u = 2i +j- 3k, v = i -j- k. %3D Find the vector projection Projuv o (2, 1, -3) O (1, 1, –3) O…

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Q: Consider the following. u = ,    v = (a) Find the projection of u onto v. (b) Find the vector…

A: Find the projection of u onto v and find the vector component of u orthogonal to v.

Q: Let u=-3i+3j+2k and v=i+j+3k and find u . v, that is, the cross product of u and v

A: Let  u→ and v→ be the two vectors .   i.e, u→=u1i^ +u2j^+u3k^  and  v→=v1i^+v2j^ +v3k^ Dot product…

Q: Use Exercise 47 to show that if cos α, cos β, and cos γ are the direction cosines of a vector v,…

A: cos2α,cos2β and cos2γ are the direction cosines of the vector v

Q: consider the following: u = , v = (a) Find the projection of u onto v. (b) Find the vector…

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Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b)…

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Q: Find the vecctor projection of u=bi+3jtak onto Vzi-zj-2k and the scalar component of u in the…

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Q: Find the projection of the vector v onto the vector w if v = 2i + j and w = 6i + 3j

A: we have given v and w vectors . We have to find the projection of the vector v onto the vector w

Q: 4. Find the scalar and vector projections of b onto a (a) a =, b = (b) a =, 6=

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Q: The orthogonal projection of the vector u =(-1,-2) on a=(-2,3) is a) b) d) 8 12 13 13 13 13 8 12 94…

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Q: Determine all three dimensional vectors that are orthogonal to v = 5î – 51 – 5k

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