If , , are non-coplanar unit vectors also , are non-collinear and ,…

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

Problem

\mathbf{a}

\mathbf{b}

\mathbf{c}

are non-coplanar unit vectors also

\mathbf{b}

\mathbf{c}

are non-collinear and

2\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) = \mathbf{b} + \mathbf{c}

, then (1) angle between

\mathbf{a}

and

\mathbf{c}

60^\circ

(2) angle between

\mathbf{b}

and

\mathbf{c}

30^\circ

(3) angle between

\mathbf{a}

and

\mathbf{b}

120^\circ

(4)

\mathbf{b}

is perpendicular to

\mathbf{c}