Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(−1, −2, −3) & D(0,5,7).

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Find the equation of the plane parallel to the line r = 2i + t(-4i + 8j + 8k) and containing the points (7, 10, 7) and (6, 8, 9). (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Find the distance from the point P(-1, 3,-5) to the plane through the three points Q(3,1,-3), R(4,6, 5), and S(5, 4, 6).