Consider the following three planes.
P1: containing the point D(1, −2, −3) and the line L: x = 2t − 3, y = −t − 1, z = t − 1, t ∈ R.
P2 : 2x − 3y + 4z = 12
P3: containing the points A(0, 2, 1), B(−3, 0, 1), and C(3, 2, −1/2).

Describe the relationship between each pair of planes, whether they are parallel, intersecting or co-
incident. If two of the planes are coincident, explain how you determined that. If two of the planes

are parallel, find the distance between them. If two of the planes intersect in a line, show how to
calculate the parametric equations of the line of intersection and the angle formed by those two planes.

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1 The relationship between P 1 ... View the full answer