Given , , and , find…

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Given a⋅b=1\mathbf{a}\cdot\mathbf{b}=1, b⋅b=5\mathbf{b}\cdot\mathbf{b}=5, b⋅c=−2\mathbf{b}\cdot\mathbf{c}=-2 and a⋅c=3\mathbf{a}\cdot\mathbf{c}=3, find (a+2b)⋅(b−c)(\mathbf{a}+2\mathbf{b})\cdot(\mathbf{b}-\mathbf{c}).

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