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Question

Let O be the origin and $\overrightarrow{OX}$, $\overrightarrow{OY}$, $\overrightarrow{OZ}$ be three unit vectors in the directions of the sides $\overrightarrow{QR}$, $\overrightarrow{RP}$, $\overrightarrow{PQ}$ respectively, of a triangle PQR. What is the value of $\left|\overrightarrow{OX} \times \overrightarrow{OY}\right|$?

$\sin(P + Q)$

$\sin(2R)$

$\sin(P + R)$

$\sin(Q + R)$

Solution

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