For vectors it is given that and

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

Problem

For vectors

\mathbf{a},\mathbf{b},\mathbf{c}

it is given that

\mathbf{a}\cdot\mathbf{b}=2,\;\mathbf{a}\cdot\mathbf{c}=4,\;\mathbf{b}\cdot\mathbf{c}=-1

and

|\mathbf{b}|^{2}=5

. Find the value of

(\mathbf{a}+2\mathbf{b})\cdot(\mathbf{b}-\mathbf{c})

. (a) 6 (b) 12 (c) 10 (d) 8