Find the equation of the plane problems: a) Find an equation of a plane through the point
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Question:
Find the equation of the plane problems:
a) Find an equation of a plane through the point (0, 1, -5) which is parallel to the plane −5x+5y−1z=−5 in which the coefficient of x is -5.
b) Find an equation of a plane containing the three points (5, 0, 0), (6, 3, 1), (6, 4, 3) in which the coefficient of x is 5.
c) Find an equation of the plane consisting of all points that are equidistant from (-1, -1, 2) and (-2, 0, 4).
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