JEE MATHEMATICS MCQ: ADDITION OF VECTORS

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Analyzing +4 | -1

a = \hat i + \hat j + \hat k,b = 4\hat i + 3\hat j + 4\hat k\,\,\,\,{\text{and}}\,\,\,\,c = \hat i + \alpha \hat j + \beta \hat k

are linearly dependent vectors and

\left| c \right| = \sqrt 3

then

View answer and explanation

Correct option: D

\alpha = \pm 1,\beta = 1

Option D (

\alpha = \pm 1,\beta = 1

) is correct because, for the vectors to be linearly dependent and satisfy the magnitude condition, these are the only possible values for

\alpha

and

\beta

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AF:AC =