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The Lengths of the Hour and Minute Hands of a Clock

Question 107

Multiple Choice

The lengths of the hour and minute hands of a clock are 4 cm4 \mathrm{~cm} and 6 cm6 \mathrm{~cm} , respectively. If the vectors u\vec{u} and w\vec{w} represent the hour and minute hands, respectively, then u×w\vec{u} \times \vec{w} at 5:00 pm is closest to


A) 24 cm224 \mathrm{~cm}^{2} out of the clock face.
B) 24 cm224 \mathrm{~cm}^{2} into the clock face.
C) 21 cm221 \mathrm{~cm}^{2} out of the clock face.
D) 21 cm221 \mathrm{~cm}^{2} into the clock face.
E) 12 cm212 \mathbf{~ c m}^{2} out of the clock face.
F) 12 cm212 \mathrm{~cm}^{2} into the clock face.

Correct Answer:

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