Question 3 (a) - Plane - Chapter 11 Class 12 Three Dimensional Geometry

Last updated at August 11, 2026 by

Ex 11.3, 3 - Class 12th - Find Cartesian equation of planes - Equation of plane - In Normal Form

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Transcript

Question 3 Find the Cartesian equation of the following planes: (a) ๐‘Ÿ๏ทฏ . ( ๐‘–๏ทฏ + ๐‘—๏ทฏ โˆ’ ๐‘˜๏ทฏ) = 2 Putting ๐’“๏ทฏ = x ๐’Š๏ทฏ + y ๐’‹๏ทฏ + z ๐’Œ๏ทฏ in equation ๐‘Ÿ๏ทฏ.( ๐‘–๏ทฏ + ๐‘—๏ทฏ โˆ’ ๐‘˜๏ทฏ) = 2 (x ๐‘–๏ทฏ + y ๐‘—๏ทฏ + z ๐‘˜๏ทฏ). ( ๐‘–๏ทฏ + ๐‘—๏ทฏ โˆ’ ๐‘˜๏ทฏ) = 2 (x ร— 1) + (y ร— 1) + (z ร— โˆ’1) = 2 x + y โˆ’ z = 2 is the cartesian equation of the given plane.

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