Chapter 3 - Vectors and Coordinates Systems - Exercises and Problems - Page 78: 18

(a) $B_x = -2.5~m$ $B_y = 4.3~m$ (b) $B_x = 0$ $B_y = 5.0~m$

(a) $B_x = -B~sin(\theta)$ $B_x = -(5.0~m)~sin(30^{\circ})$ $B_x = -2.5~m$ $B_y = B~cos(\theta)$ $B_y = (5.0~m)~cos(30^{\circ})$ $B_y = 4.3~m$ (b) From the figure, it is apparent that: $B_x = 0$ $B_y = 5.0~m$