How do you find a vector parallel to the line of intersection of two planes?

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#1

How do you find a vector parallel to the line of intersection of two planes?

Answer:

Given the equation of the plane ax + by + cz = d, the normal vector of the plane is (a,b,c). The cross product of two different normal vectors will result in a third vector orthogonal to both, which is the directional vector of the line of intersection.