Question

How do you find the unit vector having the same direction as vector `a = 8i-15j`?

Answer 1

`hata=8/17i-15/17j`.

Explanation:

Given a non-null vector `vecx`, the unit vector in its direction, denoted by, `hatx` is given by, `hatx=vecx/||vecx||`

As `||veca||=sqrt((8^2+(-15)^2))=sqrt(289)=17`

Hence, `hata=1/17{8(hati)-15(hatj)}=8/17i-15/17j`.