A third plane can be found that passes through the line of intersection of two existing planes.

a) Two planes are given by the equations3x5y+2z8= and4x+2y+3z+11=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 (2, -3, 4).

b) Give the equations of two planes. make a third plane that passes through the line of intersection of the original two and which is parallel to thex-axis. Explain your reasoning and include a graph.