Question

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

Answer 1

`-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>`.