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 35; + z 6 = D and 3x + 5}; + 42 + 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 zaxis. Explain your reasoning and include a LanGraph of vour planes. Three planes can intersect in a number of different wavs. For each of the combinations below, find the single point of intersection ifthere is one. If there isn't, explain how the planes do intersect. a. x3v22+3=D 4x+2y+32? =0 52: + 4}: + z 5 = 0 b. 3x2y+228=G 4x+y+32+3={) 2x3y+?z13= Give the equations of three planes that meet in three lines. Explain your reasoning and include a LanGraph of your planes that allows you to see the triangular prism created