The figure below shows three vectors and $\overline{O}$, $\overline{P}$ and $\overline{Q}$ in the xy plane with their lengths specified in arbitrary units. Find the sum of these three vectors and express the resultant in (i) its individual components, (ii) magnitude, and its angle relative to the positive y-axis.

• A. i. S_x = -21, S_y = 35, ii. magnitude = 41, direction = 32°
• B. i. S_x = 66, S_y = 70, ii. magnitude = 96, direction = 46°
• C. i. S_x = 30, S_y = 35, ii. magnitude = 46, direction = 48°
• D. i. S_x = -21, S_y = 70, ii. magnitude = 73, direction = 58°

Answer: (A)