Page 195 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(b) u is oppositely directed to

Find a nonzero vector u with terminal point such that
5.

(a) u has the same direction as

(b) u is oppositely directed to

Let , , and . Find the components of
6.

(a)

(b)

(c)

(d)

(e)

(f)

Let u, v, and w be the vectors in Exercise 6. Find the components of the vector x that satisfies .
7.

Let u, v, and w be the vectors in Exercise 6. Find scalars , , and such that
8.

Show that there do not exist scalars , , and such that
9.

Find all scalars , , and such that
10.

Let P be the point (2, 3, ) and Q the point (7, , 1).
11.

(a) Find the midpoint of the line segment connecting P and Q.