Find the equations of the planes that passes through three points. (a) (1, 1, −1), (6, 4, −5), (−4, −2, 3) (b) (1, 1, 0), (1, 2, 1), (−2, 2, −1)

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(a) The given points are A (1, 1, −1), B (6, 4, −5), and C (−4, −2, 3). Since A, B, C are collinear points, there will be infinite number of planes passing through the given points. (b) The given points are A (1, 1, 0), B (1, 2, 1), and C (−2, 2, −1). Therefore,...
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(a) The given points are A (1, 1, −1), B (6, 4, −5), and C (−4, −2, 3). Since A, B, C are collinear points, there will be infinite number of planes passing through the given points. (b) The given points are A (1, 1, 0), B (1, 2, 1), and C (−2, 2, −1). Therefore, a plane will pass through the points A, B, and C. It is known that the equation of the plane through the points, , and , is This is the Cartesian equation of the required plane. read less
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