Let a=[[-2],[0],[1]] and b=[[3],[0],[2]] be vectors. Find the component of b in the direction of a.

comp_(a)(b)=

Decompose the vector b into b=v+w where v is parallel to a and w is orthogonal to a.

Which of the following options correctly describes the component of b in the direction of a?

A) The component of b in the direction of a is v.
B) The component of b in the direction of a is w.
C) The component of b in the direction of a is v + w.
D) The component of b in the direction of a cannot be determined.