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Vector Problems : Plane Angle and Line of Intersection

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The plane Π 1 has equation x + 2y - z = 5 and the plane Π 2 has the equation 3x + y + 2z = 10.
(a) Find the angle between the planes.
(b) Find the equation of the line of intersection of the planes.

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Plane angle and line of intersection are found. The solution is detailed and well presented.

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Theorem 1: Suppose we have two planes with equations:
Then the angle between the two planes is

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