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The following equations represent a line, L and a plane, P. L: x=2 y=2-31 = = 61+1 P: 3 -x-2y=1-z i) Show that the line

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The following equations represent a line, L and a plane, P. L: x=2 y=2-31 = = 61+1 P: 3 -x-2y=1-z i) Show that the line L and the plane P intersects. TEST BUM2123 18 APRIL 2022 (4 Marks) ii) Then, find their point of intersection. 8.30 - 11.00 PM (4 Marks) iii) Given that (2, 2,1) is one of the points that lies on line L. Find the distance between this point to the plane P. (2 Marks)

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