Suppose we have the triangle with vertices $P(1,3,1)$, $Q(-4,6,-4)$, and $R(6,-1,2)$. Answer the following questions.

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1. Find a non-zero vector orthogonal to the plane through the points $P,$ $Q,$ and $R.$
Answer:

2. Find the area of the triangle $\triangle PQR.$
Area:

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