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

1 Answer
Jul 28, 2016

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