Find an equation of the plane. the plane "through the origin" and the points (4, −1, 9) and (9, 4, 2)

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04-02-2018
Mathematics

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Find an equation of the plane. the plane "through the origin" and the points (4, −1, 9) and (9, 4, 2)

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sqdancefan sqdancefan · Answer 1 · 2018-02-05T22:22:19+01:00

sqdancefan sqdancefan

05-02-2018

The cross product of the vectors from the origin to these points will give a normal to the plane: (-38, 73, 25). That can be used to write the equation of the plane:
.. 38x -73y -25z = 0 . . . . . . "standard form" with leading coefficient positive

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