I need some help answering these questions

5. The angle between two planes can also be determined. (4 marks) 3. Find the angle between the planes given by the equations lwwyu Z] : [17 _3: _2l + 8 l2: 3: 5] + t [27 17 7l and lac, y, z] : [6, 2, 1] l s [5, 3, 4] + t [3, 2, 1] b. Give the equations of two planes that meet at a 90 angle. 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 73:1: 7 5y + 2z 7 8 = 0 and 4:1: + 2y + 32 + 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 x-axis. Explain your reasoning and include a LanGraph of your planes. 7. Three planes can intersect in a number of different ways. For each of the combinations below, nd the single point of intersection if there is one. If there isn't, explain how the planes do intersect. (6 marks) 11]: 3m+4y+2zil = 0 3.113: 2m+5y+3z+7 = 0 7T3: 5m+4y+2z3 = 0 b 1n: wZyl3z1 = 0 '1r2: 3a:+5y+2z+7 = 0 7T3: LL'-l-y-l-82+5 : 0 8. 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. (4 marks)