The process of finding a vector’s components is
known
as “resolving,” “decomposing,” or “breaking down” a vector. Let’s
take the example, illustrated to the left, of a vector,

**A**,
with a magnitude of

*A* and a
direction

above
the

*x*-axis. Because

,

,
and

**A** form a right
triangle,
we can use trigonometry to solve this problem. Applying the
trigonometric
definitions of cosine and sine,