VECTORS TUTORIAL SHEET ANSWERS

1. The given vector components correspond to the vector r as schematically shown in the figure below. (a) Use the inverse tangent function to find the angle �. (b) Use the Pythagorean Theorem to determine the magnitude of r. (c) Show that the direction will remain the same but the magnitude will double if both rx and ry are doubled. [−34°, 17 m, (−34°, 34 m)] 2. The vectors involved in this problem are shown below. Set the length of A + B equal to 37 units. Solve for B. [30 units]