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Using cross products to find orthogonal vectors and areas

Find a vector orthogonal to the plane through the points P, Q, and R and find the area of the triangle PQR.

P(1,0,0) Q(0,2,0) R(0,0,3)

Solution Preview

To find a vector orthogonal to the plane, first find any two direction vectors in the plane, then take their cross product:

The vector ...

Solution Summary

One use of cross products is to find the area of triangles in 3D space. The solution comprises one example of this application.