Question

How do you find the unit vector in the same direction as (-5, 3)?

Answer 1

Given a vector `vecv = (a,b)`; the unit vector is:

`hatv = vecv/|vecv|`

Where `|vecv| = sqrt(a^2+b^2)`

Explanation:

Given: `vecv = (-5,3)`

`hatv = ("("-5,3")")/sqrt((-5)^2+3^2)`

`hatv = ("("-5,3")")/sqrt(34)`

`hatv = (-5/sqrt(34),3/sqrt(34))`