Question

How do you find the unit vector in the direction of the given vector of `w=i-2j`?

Answer 1

`" " hatvecw=sqrt5/5(veci-2vecj)`

Explanation:

`" The unit vector in the direction of " vecw`

`hatvecw=vecw/(|vecw|)`

`vecw=veci-2vecj=>|vecw|=sqrt(1^2+2^2)=sqrt5`

so`" " hatvecw=1/sqrt5(veci-2vecj)`

`" " hatvecw=sqrt5/5(veci-2vecj)`