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Ex 11.3

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

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Transcript

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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.