Find an equation of the plane passing through the three points: (1, -2, 1), (-1, -1, 7), (2, -1, 3).

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: Write the equations of three non-parallel planes that all intersect at (-4, 7, 1).

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Q: Determine an equation for the plane through the following points: (-5, -9, 3), (-8, -4, 7) and (-9,…

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Q: The plane through the points (8,-2,-5), (4,-7,5), (3,-1,8) has equation Ax+By+Cz = D. If A = -75…

A: Given: The plane through the points (8,-2,-5),(4,-7,5),(3,-1,8) hasequation Ax+By+Cz=D. We are…

Q: If a = i +9j+k and b = i +19j+ k, find a unit vector with positive first coordinate orthogonal to…

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Q: Find an equation of a plane containing the three points (-3, -1, 1), (-4, -6, 0), (-4, -5, 2) in…

A: This question is related to equation of plane, We will solve it using given information.

Q: Find the equation of the plane through (1, 0, 1), (−1, 2, 2) and (0, 0, 2).

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Q: Find an equation of the plane passing through the points (1, -2,3), (4,5,-6), and (7,8, -3).

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