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

    Solution Summary

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