Question: (7) Given points A(2, 1, 3), B(1, 0, 4) and CO, 2, 5). (a) Find an equation of the plane passing through the points. (13)

(7) Given points A(2, 1, 3), B(1, 0, 4) and CO, 2, 5). (a) Find an equation of the plane passing through the points. (13) Find parametric equation of the line passing through A and B. 1 4 2 (8) Consider the line :1: = i = 23 2 3 5 (a) Find the point of intersection of the line and the plane. (13) Find the cosine of the angle between the line and the plane. (9) Find the cosine of the angle between the planes 9:r + By + 52 = 12 and 8x + 5y 22 = 6. (10) Find an equation of the plane consisting of all points that are equidistant from the points A(2,5, 5) and B(6, 3, 1). and the plane 511: + y 32 = 4

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