Plane

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Chapter 11 Class 12 Three Dimensional Geometry

Serial order wise

Last updated at April 16, 2024 by Teachoo

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.