Question

In Exercises 1–3, find

a. v. u,| v|,|u|

b. the cosine of the angle between v and u

c. the scalar component of u in the direction of v

d. the vector proj _{v}u.

1. v = 5j - 3k, u = i + j + k

2. v =-i + j, u = sqrt(2)i + sqrt(3)j + 2k

3. v = 5i + j, u = 2i + sqrt(17)j

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