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Ex 11.3, 3 - Chapter 11 Class 12 Three Dimensional Geometry - Part 3

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Ex 11.3, 3 Find the Cartesian equation of the following planes: (c) π‘Ÿο·― . [(s – 2t) 𝑖﷯ + (3 – t) 𝑗﷯ + (2s + t) π‘˜ο·―] = 15 Putting 𝒓﷯ = x π’Šο·― + y 𝒋﷯ + z π’Œο·― in equation π‘Ÿο·― . [(s – 2t) 𝑖﷯ + (3 – t) 𝑗﷯ + (2s + t) π‘˜ο·―] = 15 (x 𝑖﷯ + y 𝑗﷯ + z π‘˜ο·―) . [(s – 2t) 𝑖﷯ + (3 – t) 𝑗﷯ + (2s + t) π‘˜ο·―] = 15 x (s – 2t) + y(3 βˆ’ t) + z(2s + t) = 15 (s – 2t) x + (3 βˆ’ t) y + (2s + t) z = 15 which is the equation of the plane in Cartesian form.

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