Question

How do you find the unit vector of 5i-12j?

Answer 1

`5/13i-12/13j`

Explanation:

The normalised vector corresponding to `5i-12j` is `5/13i-12/13j`

To find the normalised vector, divide by the (Euclidean) norm of the vector:

`|| 5i-12j || = sqrt(5^2+12^2) = sqrt(25+144) = sqrt(169) = 13`

So the unit vector in the same direction is:

`1/13(5i-12j) = 5/13i-12/13j`