Find the unit vector having the same direction as v v 5i 12

Find the unit vector having the same direction as v. v = 5i- 12j What is the unit vector having the same direction as v? 12i - 5j 12/13i - 5/13 j -5/13i + 12/13j 5/13i - 12/13j

Solution

given v = 5i - 12j

l v l = sqrt(5^2+(-12)^2) = sqrt(25+144) = sqrt169 = 13

unit vector in same direction is u = v / l v l = < 5i - 12j >/13

u = 5/13 i - 12/13 j