Answer to Question #60811 in Analytic Geometry for Subhay nazir

Question

A third plane can be found that passes through the line of intersection of two existing planes.?
a. Two planes are given by the equations 2x − 3y + z − 6 = 0 and -3x + 5y + 4z + 6 = 0. Find the scalar equation of the plane that passes through the line of intersection of these two planes, and also passes through the point (1, 3, -1).

b. Give the equations of two planes. Create a third plane that passes through the line of intersection of the original two and which is parallel to the z-axis. Explain your reasoning