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

Transcribed Image Text:

6. A third plane can be found that passes through the line of intersection of two existing planes. (4 marks) a. Two planes are given by the equations -3x-5y+2z- 8 = 0 and 4x+2y+3x+11= 0. Find the vector and scalar equations 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. Create a third plane that passes through the line of intersection of the original two and which is parallel to the x-axis. Explain your reasoning and include a LanGraph of your planes. 6. A third plane can be found that passes through the line of intersection of two existing planes. (4 marks) a. Two planes are given by the equations -3x-5y+2z- 8 = 0 and 4x+2y+3x+11= 0. Find the vector and scalar equations 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. Create a third plane that passes through the line of intersection of the original two and which is parallel to the x-axis. Explain your reasoning and include a LanGraph of your planes.