Chapter 1, Problem 1.35E

Vector $\stackrel{\to }{A}$ is 2.80 cm long and is 60.0^° above the x-axis in the first quadrant. Vector $\stackrel{\to }{B}$ is 1.90 cm long and is 60.0° below the x-axis in the fourth quadrant (Fig. E1.35). Use components to find the magnitude and direction of (a) $\stackrel{\to }{A}+\stackrel{\to }{B}$; (b) $\stackrel{\to }{A}-\stackrel{\to }{B}$; (c) $\stackrel{\to }{B}-\stackrel{\to }{A}$. In each case, sketch the vector addition or subtraction and show that your numerical answers are in qualitative agreement with your sketch.

Figure E1.35