Let the volume of a parallelepiped whose coterminous edges are given by u → = i ^ + j ^ + λ k ^ ,…

Let the volume of a parallelepiped whose coterminous edges are given by u→=i^+j^+λk^, v→=i^+j^+3k^ and w→=2i^+j^+k^ be 1 cu. unit. If θ be the angle between the edges u→ and w→, then the value of cos⁡θ can be
  1. 766
  2. 763
  3. 57
  4. 533

Solution

±1=11λ113211 ⇒=-λ+3=±1⇒λ=2 or λ=4
For λ=4
cosθ=2+1+4618=763

Asked in: MHT CET Full Test 8

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