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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
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 + 3z + 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
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