Question: A line L : (-1, 5, 1) + t(2, 1, -4) intersects two planes, P1 : 2x - y + 3z = 5 and P2.

A line L : (-1, 5, 1) + t(2, 1, -4) intersects two planes, P1 : 2x - y + 3z = 5 and P2. (a) Find the point of intersection of line L and plane Pi. [3 marks] (b) The line L intersects P2 at a right angle and at the point (1, 6, -3). Give the general equation of plane P2. [2 marks] (c) Show that the two planes Pi and P2 are not parallel to each other, hence find the angle of intersection between them. Give the angle in radians to 2 decimal places. 3 marks]

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