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Please answer urgently! 8. Determine the point of intersection of the three planes 1 1: x+ 3y-z+9=0 2: X-y+2-11 =0 73: [x, y, z] =

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8. Determine the point of intersection of the three planes 1 1: x+ 3y-z+9=0 2: X-y+2-11 =0 73: [x, y, z] = [1, 0, 1] + s[2, 1, -1] + #[4, 0, -1]. a. (1, -4, 3) C. (5, -4, 2) b. (5, 0, -5) d. (5, 11, -12) Communication [13 marks] ing the intersection of True/False Indicate whether the statement is true or false. 9. A normal vector to a line is parallel to that line. 10. There is no symmetric form for the equation of a plane. 121 11. A plane written in scalar form can be written in vector form. 12. In three-space there are two possibilities for the intersection of two lines. 13. A line will never intersect with a plane. on the plane It. y.215 Matching Match the equation of each plane to its scalar form. A x- y- 2z +4 =0 D 13x - 7y+ 2z + 16 =0 B y =2 E 2x-y- 2z-6 = 0 C y-Z-6=0 20. [x, y, z] = [3, 2, 1] + s[2, 0, 3] + t[3, 0, 2] 21. [x, y, z] = [5, -2, 3] + s[3, -2, 4] + +[5, -2, 6] x = 3t+s 22. y = 2-1-55 z = 1+2t+ 35 23. [x, y, z] = [5, 4, -2] + s[2, -1, -1] + ([1, 3, 3] x = -$+25 24. y = 2-1+4s Z=-1+ 3 +s

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