Question: 13. Given the points A(3,5) and B( - 3, -7), find a. the vector equation of the line. (2 marks) b. the parametric equations of

13. Given the points A(3,5) and B( - 3, -7), find a. the vector equation of the line. (2 marks) b. the parametric equations of the line. (2 marks) c. the symmetric equation of the line. (1 mark) d. the scalar equation of the line. (1 mark) 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, - 3] + f[4,10,6], find a. the parametric equations of the line. (1 mark) b. the symmetric equation of the line (2 marks) 15. An airplane is flying at an air speed of 420 km/h on a heading of 210. A 45-km/h wind is blowing from a bearing of 50. Determine the bearing and ground velocity of the airplane using geometric vectors. (4 marks)
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