Q .     Let `a⃗ = hat i+hat j +hat k, b⃗ =4 hat i+3hat j+4hat k` and `c⃗ =hat i+αhat j+βhat k` be the linearly dependent vectors and `|hat c⃗ |=sqrt 3`, then

JEE 1998
A

`α = ±1, β = 1`

B

`α = –11, β = ±1`

C

`α = 1, β = ±1`

D

`α = 1, β = –1`

HINT

Since, `vec a, vec b,vec c` are linearly dependent vectors. `⇒ [vec a vec b vec c] = 0`

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