The Lengths of the Hour and Minute Hands of a Clock

Multiple Choice

The lengths of the hour and minute hands of a clock are $4 \mathrm{~cm}$ and $6 \mathrm{~cm}$ , respectively. If the vectors $\vec{u}$ and $\vec{w}$ represent the hour and minute hands, respectively, then $\vec{u} \times \vec{w}$ at 5:00 pm is closest to

A) $24 \mathrm{~cm}^{2}$ out of the clock face.
B) $24 \mathrm{~cm}^{2}$ into the clock face.
C) $21 \mathrm{~cm}^{2}$ out of the clock face.
D) $21 \mathrm{~cm}^{2}$ into the clock face.
E) $12 \mathbf{~ c m}^{2}$ out of the clock face.
F) $12 \mathrm{~cm}^{2}$ into the clock face.