일반물리학 1 — Vectors: Problem 35

35 Two vectors $\vec{p}$ and $\vec{q}$ lie in the $xy$ plane. Their magnitudes are 3.50 and 6.30 units, respectively, and their directions are $220^\circ$ and $75.0^\circ$, respectively, as measured counterclockwise from the positive $x$ axis. What are the values of (a) $\vec{p} \times \vec{q}$ and (b) $\vec{p} \cdot \vec{q}$?