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प्रश्न
Find the cartesian equation of the plane passing through A(1, 2, 3) and the direction ratios of whose normal are 3, 2, 5.
उत्तर
The plane passes through the point A(1, 2, 3) and the direction ratios of it’s normal are 3, 2, 5.
∴ x1 = 1, y1 = 2, z1 = 3, a = 3, b = 2, c = 5
Equation of a plane in Cartesian form is
a(x – x1) + b(y – y1) + c(z – z1) = 0
∴ 3(x – 1) + 2(y – 2) + 5(z – 3) = 0
∴ 3x + 2y + 5z – 22 = 0
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