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Question

For what value of λ vector a and b perpendicular to each other where a=λ^i+2^j+^k and b=4^i9^j+2^k ?
  1. 8
  2. 16
  3. 2
  4. 4


Solution

The correct option is D 4
As a and b are perpendicular to each other, thus a.b=0
(λ)(4)+(2)(9)+(1)(2)=0
4λ18+2=0
4λ16=0
4λ=16
λ=164
λ=4

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