What is the unit vector that is orthogonal to the plane containing # (29i-35j-17k) # and # (20j +31k) #?
The cross product is perpendicular to each of its factor vectors, and to the plane that contains the two vectors. Divide it by its own length to get a unit vector.
Find the cross product of
Compute this by doing the determinant
After you find
then your unit normal vector can be either
You can do the arithmetic, right?
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