Find a unit vector that has the same direction as the given vector.

Question

−5i + 9j

Answer 1

v = -5i + 9j

ll v ll = magnitude of v = √[(-5)² + (9)²] = √106

The vector of length 1 that is in the same direction as v is

(1 / llvll) v = (1/√106)(-5i + 9j) = (-5 / √106)i + (9 / √106)j