How do you normalize <0,8,5>?

1 Answer
May 13, 2018

bb(hat(a))=[(0,(8sqrt(89))/89,(5sqrt(89))/89)]

Explanation:

A unit vector in the direction of some vector bba is given by:

bb(hat(a))=(bba)/||bba||

Let:

bba=[(0,8,5)]

||bba||=sqrt((0)^2+(8)^2+(5)^2)=sqrt(89)

:.

bb(hat(a))=[(0,(8sqrt(89))/89,(5sqrt(89))/89)]