Vector v has its initial point at (7, -9) and its terminal point at (-17, 4). Which unit vector is in the same direction as v?

Question

Vector v has its initial point at (7, -9) and its terminal point at (-17, 4). Which unit vector is in the same direction as v?

 

Answer 1

The unit vector is just

 

u = v/|v| = (v_x/|v|)i + (v_y/|v|)j

 

v_x = -17 - 7 = -24

v_y = 4 - (-9) = 13

|v| = √(v_x² + v_y²) = √[(-24)² + (13)²] = √745

 

u = (-24/√745)i + (13/√745)j