Question

How do you find the unit vector in the direction of the vector a = 3i + 4j?

Answer 1

`1/5 a`

Explanation:

The unit vector in the direction of

`a = r < cos theta, sin theta>` is

`(cos theta, sin theta)`.

So, the unit vector is `1/r a`.

Here, it is `(<3, 4>)/|<3, 4>|=1/sqrt(3^2+4^2) a=1/5 a`