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Find a point-normal equation of the following planes in R3 a) The plane that contains the points P(-2, 1, 3), Q(-1, -1, 1) and R(3,

Find a point-normal equation of the following planes in R3

a) The plane that contains the points P(-2, 1, 3), Q(-1, -1, 1) and R(3, 0, -2).

b) The plane that contains the point P(-2, 1, 0) and is parallel to the plane -8x + 6y - z = 4

c) The plane that contains the point P(-2, 1, 0) and is orthogonal to the line (x, y, z) = (1, 2, 1) + t(6, 1, 2)

d) The plane that contains the line (x, y, z) = (-1, 5, 6) + t(0, -1, 3) and the line (x, y, z) = (-1, 5, 6) + s(2, -1, 0)

e) The plane that contains the following two parallel lines (x, y, z) = (-1, 5, 6) + t(0, -1, 3) and (x, y, z) = (0, 0, 0) + t(0, -1, 3)

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