jee-advanced 1998 Q9

jee-advanced · India Vectors Introduction & 2D Perpendicularity or Parallel Condition

9. If $\vec { a } = \hat { i } + \hat { j } + \hat { k } , \vec { b } = 4 \hat { i } + 3 \hat { j } + 4 \hat { k }$ and $\vec { c } = \hat { i } + \alpha \hat { j } + \beta \hat { k }$ are linearly dependent vectors and $| \vec { c } | = \sqrt { 3 }$, then:
(A) $\alpha = 1 , \beta = - 1$
(B) $\alpha = 1 , \beta = \pm 1$
(C) $\alpha = - 1 , \beta = \pm 1$
(D) $\alpha = \pm 1 , \beta = 1$

9. If $\vec { a } = \hat { i } + \hat { j } + \hat { k } , \vec { b } = 4 \hat { i } + 3 \hat { j } + 4 \hat { k }$ and $\vec { c } = \hat { i } + \alpha \hat { j } + \beta \hat { k }$ are linearly dependent vectors and $| \vec { c } | = \sqrt { 3 }$, then:\\
(A) $\alpha = 1 , \beta = - 1$\\
(B) $\alpha = 1 , \beta = \pm 1$\\
(C) $\alpha = - 1 , \beta = \pm 1$\\
(D) $\alpha = \pm 1 , \beta = 1$\\

Paper Questions

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