Answer:
<[tex]\frac{-2\sqrt{5} }{5}[/tex],[tex]\frac{-\sqrt{5} }{5}[/tex]>
Step-by-step explanation:
-2i - j = <-2, -1> = v
unit vector = u = [tex]\frac{v}{||v||}[/tex]
||v|| = [tex]\sqrt{(-2)^{2}+ (-1)^{2}}[/tex] = [tex]\sqrt{4+1}[/tex] = [tex]\sqrt{5}[/tex]
So the unit vector is [tex]\frac{<-2,-1>}{\sqrt{5}}[/tex] = <[tex]\frac{-2}{\sqrt{5} }[/tex],[tex]\frac{-1}{\sqrt{5} }[/tex]>
When we simplify the square root, this becomes <[tex]\frac{-2\sqrt{5} }{5}[/tex],[tex]\frac{-\sqrt{5} }{5}[/tex]>.
