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JEE Main202229 Jul 2022Morning ShiftMathematicsVector AlgebraActual

Let a → = 3 i ^ + j ^ and b → = i ^ + 2 j ^ + k ^ . Let c → be a vector satisfying a → × b → × c → = b → + λ c → . If b → and c → are non-parallel, then the value of λ is

Options

  1. A- 5
  2. B5
  3. C1
  4. D- 1

Correct answer

A. - 5

Step-by-step solution

Given, a → = 3 i ^ + j ^ and b → = i ^ + 2 j ^ + k ^ Let c → be a vector satisfying a → × b → × c → = b → + λ c → . If b → and c → are non-parallel, then the value of λ is Now putting the value of a → = 3 i ^ + j ^   &   b → = i ^ + 2 j ^ + k ^ in a → × b → × c → = b → + λ c → we get, ⇒ a → × b → × c → = b → + λ c →

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