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Communication [13 marks] True/False Indicate whether the statement is true or false. 9. A normal vector to a line is parallel to that line. 10.
Communication [13 marks] 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. 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. Matching Match the equation of each plane to its scalar form. A r-y - 2z +4 = 0 D 13x - 7y + 2z + 16 = 0 y = 2 E 2x-y - 2z - 6 = 0 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] + 1[5, -2, 6] x = 3t + 5 22. y = 2-1- 5s z = 1+ 2t+ 3s 23. [x, y, z] = [5, 4, -2] + s[2, -1, -1] + ([1, 3, 3] x = -t+25 24. y = 2-1+45 z = -1+3+5
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