How do you find a unit vector that is oppositely directed to v = (1, 3,- 4)?

1 Answer
Feb 20, 2017

-1/sqrt26 <1, 3, -4> .

Explanation:

The opposite vector is -vec v=- <1, 3, -4>.

So, the unit vector in the opposite direction is

1/| -vec v |(-vec v) =1/sqrt(1^2+3^2+(-4)^2)(- <1, 3, -4> )

=-1/sqrt26 <1, 3, -4> .