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6. Athird plane can be found that passes through the line of intersection of two existing planes. (4 marks) a. Two planes are given by
6. Athird 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 3:1: 5y -l- 2z 8 = 0 and 4m + 23; l 3z l 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. Create a third plane that passes through the line of intersection of the original two and which is parallel to the m-axis. Explain your reasoning and include a LanGraph of your planes. LanGraph 7. Three planes can intersect in a number of different ways. For each of the combinations below, find the single point of intersection if there is one. If there isn't, explain how the planes do intersect. (6 marks) an: 3$+4y+221 = 0 am: 2$+5y+3z+7 = 0 7r3: 5m+4y+2z3 0 7n: m2y+3z1 = 0 71'2: 3:13l5yl22+7 = 0 g: m+y+82+5 = 0
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