Let , , and be three non-zero vectors which are pairwise non-collinear. If is…

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

Problem

Let

\mathbf{a}

\mathbf{b}

, and

\mathbf{c}

be three non-zero vectors which are pairwise non-collinear. If

\mathbf{a}+3\mathbf{b}

is collinear with

\mathbf{c}

and

\mathbf{b}+2\mathbf{c}

is collinear with

\mathbf{a}

, then

\mathbf{a}+3\mathbf{b}+6\mathbf{c}

is (1)

\mathbf{a}+\mathbf{c}

(2)

\mathbf{a}

(3)

\mathbf{c}

(4)

0