Let , and be vectors with magnitudes 3, 4 and 5, respectively and , then the values…

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

Let

\mathbf{a}

\mathbf{b}

and

\mathbf{c}

be vectors with magnitudes 3, 4 and 5, respectively and

\mathbf{a} + \mathbf{b} + \mathbf{c} = 0

, then the values of

\mathbf{a} \cdot \mathbf{b} + \mathbf{b} \cdot \mathbf{c} + \mathbf{c} \cdot \mathbf{a}

is (1) 47 (2) 25 (3) 50 (4) -25