Question

Find the vector equation of the plane passing through the intersection of the planes

vector r.(2i+2j-3k)=7. vector r.(2i+5j+3k)=9 and through the point (2, 1, 3)

Answer 1

The equation of any plane through the intersection of the planes given in equations (1) and (2) is given by,

This is the vector equation of the required plane.