Page 379 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(c)

(d)

Which of the following sets of vectors in are linearly dependent?
4.

(a)

(b)

(c)

(d)

Assume that , , and are vectors in that have their initial points at the origin. In each part, determine whether the
5. three vectors lie in a plane.

(a)

(b)

Assume that , , and are vectors in that have their initial points at the origin. In each part, determine whether the
6. three vectors lie on the same line.

(a)

(b)

(c)

7. , , and form a linearly dependent set in
(a) Show that the vectors

.

(b) Express each vector as a linear combination of the other two.