# Cross Products Galore

Geometry Level 2

Consider the force vector $$\textbf{F} = \langle1, 1 \frac{1}{2}\rangle$$ . If the magnitude of the torque $$\tau = \overline{OP}\times\textbf{F}$$ is equal to the area of the equilateral triangle formed by the origin, $$P$$, and $$(1, -1, 1)$$, then determine the acute angle formed by $$\overline{OP}$$ and $$\textbf{F}$$. Give your answer in degrees.

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