Vector V is 448 m long in a 224° direction. Vector Wis 336 m long in a 75.9° direction. Find the direction of their vector sum.

Answer 1

U = V + W; U_x = 448cos224° + 336cos75.9° = - 240.41 m; U_y = 448sin224° + 336sin75.9° = 14.67 m;

tanθ = -14.67/240.41 = - 0.061; θ = 360° - tan^-1(0.061) = 356.51°