How do you find the unit vector of 5i-12j?
The normalised vector corresponding to
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#