Question

How do you find the unit vector for v = -6i +5j?

Answer 1

`hatvecv=sqrt61/61(-6veci+5vecj)`

Explanation:

unit vector is defined as

`hatveca=veca/|veca|`

`vecv=-6veci+5vecj`

`|vecv|=sqrt(6^2+5^2)=sqrt(36+25)=sqrt61`

`hatvecv=1/sqrt61(-6veci+5vecj)`

`hatvecv=sqrt61/61(-6veci+5vecj)`