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

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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: (c) ๐‘Ÿ๏ทฏ . [(s โ€“ 2t) ๐‘–๏ทฏ + (3 โ€“ t) ๐‘—๏ทฏ + (2s + t) ๐‘˜๏ทฏ] = 15 Putting ๐’“๏ทฏ = x ๐’Š๏ทฏ + y ๐’‹๏ทฏ + z ๐’Œ๏ทฏ in equation ๐‘Ÿ๏ทฏ . [(s โ€“ 2t) ๐‘–๏ทฏ + (3 โ€“ t) ๐‘—๏ทฏ + (2s + t) ๐‘˜๏ทฏ] = 15 (x ๐‘–๏ทฏ + y ๐‘—๏ทฏ + z ๐‘˜๏ทฏ) . [(s โ€“ 2t) ๐‘–๏ทฏ + (3 โ€“ t) ๐‘—๏ทฏ + (2s + t) ๐‘˜๏ทฏ] = 15 x (s โ€“ 2t) + y(3 โˆ’ t) + z(2s + t) = 15 (s โ€“ 2t) x + (3 โˆ’ t) y + (2s + t) z = 15 which is the equation of the plane in Cartesian form.

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