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प्रश्न
Find the Cartesian equation of the plane passing through the points (3, 2, 1) and (1, 3, 1)
उत्तर
The Cartesian equation of the plane passing the points (3, 2, 1) = (x1, y1, z1) and (1, 3, 1) = (x2, y2, z2) is
`(x - x_1)/(x_2 - x_1) = ("y" - "y"_1)/("y"_2 - "y"_1) = ("z" - "z"_1)/("z"_2 - "z"_1)`
∴ The Cartesian equation of plane is
`(x - 3)/(1 - 3) = ("y" - 2)/(3 - 2) = ("z" - 1)/(1 - 1)`
i.e., `(x - 3)/(-2) = ("y" - 2)/1`; z = 1
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