(adsbygoogle = window.adsbygoogle || []).push({}); The problem statement, all variables and given/known data

Find a nonzero vector orthogonal to the plane through points P (0, -2, 0) Q (4, 1, -2) and R (5,3,1) and find the area of the triangle formed by PQR.

The attempt at a solution

To be honest, I am not entirely sure how to do this problem. I've looked through my textbook and notes, but there is no example that is of the same form of this problem. However, I suspect the cross product is important:

PQ has a vector of <4,3,-2>

RP has a vector of <5,5,1>

Trying to find the cross product I get:

(3--6) - (4-10) + (20 - 15)

Equals 20.

Is that right, and what do I do from here?

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# Orthogonal Vector to a plane

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