Question 3 Find the Cartesian equation of the following planes: (c) 𝑟﷯ . [(s – 2t) 𝑖﷯ + (3 – t) 𝑗﷯ + (2s + t) 𝑘﷯] = 15 Putting 𝒓﷯ = x 𝒊﷯ + y 𝒋﷯ + z 𝒌﷯ in equation 𝑟﷯ . [(s – 2t) 𝑖﷯ + (3 – t) 𝑗﷯ + (2s + t) 𝑘﷯] = 15 (x 𝑖﷯ + y 𝑗﷯ + z 𝑘﷯) . [(s – 2t) 𝑖﷯ + (3 – t) 𝑗﷯ + (2s + t) 𝑘﷯] = 15 x (s – 2t) + y(3 − t) + z(2s + t) = 15 (s – 2t) x + (3 − t) y + (2s + t) z = 15 which is the equation of the plane in Cartesian form.

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Davneet Singh

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.

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