Ex 11.3, 3 - Chapter 11 Class 12 Three Dimensional Geometry - Part 2

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  1. Chapter 11 Class 12 Three Dimensional Geometry (Term 2)
  2. Serial order wise

Transcript

Ex 11.3, 3 Find the Cartesian equation of the following planes: (b) ๐‘Ÿ๏ทฏ . (2 ๐‘–๏ทฏ + 3 ๐‘—๏ทฏ โ€“ 4 ๐‘˜๏ทฏ) = 1 Putting ๐’“๏ทฏ = x ๐’Š๏ทฏ + y ๐’‹๏ทฏ + z ๐’Œ๏ทฏ in equation ๐‘Ÿ๏ทฏ.(2 ๐‘–๏ทฏ + 3 ๐‘—๏ทฏ โˆ’ 4 ๐‘˜๏ทฏ) = 1 (x ๐‘–๏ทฏ + y ๐‘—๏ทฏ + z ๐‘˜๏ทฏ). (2 ๐‘–๏ทฏ + 3 ๐‘—๏ทฏ โˆ’ 4 ๐‘˜๏ทฏ) = 1 (x ร— 2) + (y ร— 3) + (z ร—โˆ’ 4) = 1 ๐Ÿ๐’™ + 3y โˆ’ 4z = 1 Which is the Cartesian equation of the plane.

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