Question

How do you find the unit vector in the direction of the vector a = 2i + 3j?

Answer 1

`vec(hata)=sqrt13/13(2veci+3vecj)`

Explanation:

unit vector in direction of `veca` is given by

`vec(hata)=veca/|a|`

so for `veca=2veci+3vecj`

`vec(hata)=1/sqrt(2^2+3^2)(2veci+3vecj)`

`vec(hata)=1/sqrt13(2veci+3vectj)`

`vec(hata)=sqrt13/13(2veci+3vecj)`