If the vector makes angles and with vectors and respectively

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

If the vector

\hat{i} + \hat{j} + \hat{k}

makes angles

\alpha, \beta

and

\gamma

with vectors

\hat{i}, \hat{j}

and

\hat{k}

respectively, then (1)

\alpha = \beta \neq \gamma

(2)

\alpha = \gamma \neq \beta

(3)

\beta = \gamma \neq \alpha

(4)

\alpha = \beta = \gamma