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The vector a⃗ =αi^+2j^+βk^ lies in the plane of the vectors b⃗
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The vector a⃗ =αi^+2j^+βk^ lies in the plane of the vectors b⃗ =i^+j^ and c⃗ =j^+k^ and bisects the angle between b⃗  andc⃗ . Then which one of the following gives possible values of a and b?

A
α=2,β=2

B
α=1,β=2

C
α=2,β=1

D
α=2,β=1

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The vector a⃗ =αi^+2j^+βk^ lies in the plane of the vectors b⃗ =i^+j^ and c⃗ =j^+k^ and bisects the angle between b⃗  andc⃗ . Then which one of the following gives possible values of a and b?
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Text SolutionText solutionverified iconVerified

[d] ∴a⃗  lies in the plane of b⃗  and c⃗  ∴a⃗ =b⃗ +λc⃗  ⇒αi^+2j^+βk^=i^+j^+λ(j^+k^) ⇒α=1,2=1+λ,β=λ⇒α=1,β=1
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Question Text
The vector a⃗ =αi^+2j^+βk^ lies in the plane of the vectors b⃗ =i^+j^ and c⃗ =j^+k^ and bisects the angle between b⃗  andc⃗ . Then which one of the following gives possible values of a and b?
Answer TypeText solution:1
Upvotes150