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Find an equation for each of the following planes. Use x, y and z as the...

Find an equation for each of the following planes. Use x, y and z as the variables.

a) An equation of the plane passing through the points (1,−1,1), (0,−2,−1) and (−4,0,6)

b) An equation of the plane consisting of all points that are equidistant (equally far) from (−3,−5,−1) and (4,−1,−3)

c) An equation of the plane containing the line x(t)= [0, -1, 1] + t[0, 4, -1] and is perpendicular to the plane 3y − 4z = −7

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