Question

Find the unit vector in the opposite direction of = 1 + 4 + 6

Answer 1

is your vector \[<1,4,6>\]?

Answer 2

yes

Answer 3

let \[v=<1,4,6>\]

then compute

\[-\frac{v}{\|v\|}\]

Answer 4

how do u calculate ||v||

Answer 5

|v| is the distance of the point from the origin which is found by using the distance formula.

Answer 6

\[\|<a,b,c>\|=\sqrt{a^2+b^2+c^2}\]

Answer 7

Ultimately you should get new values for a,b,c in you v vector and using the formula Zarkon gave you, you will see that the new distance from the origin or |v| is 1. Which is what all unit vectors are supposed to be.