, , and are three vectors such that , , , and . Then is equal…

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

Problem

a\mathbf{a}, b\mathbf{b}, and c\mathbf{c} are three vectors such that a+b+c=0\mathbf{a}+\mathbf{b}+\mathbf{c}=\mathbf{0}, ∣a∣=1|\mathbf{a}|=1, ∣b∣=2|\mathbf{b}|=2, and ∣c∣=3|\mathbf{c}|=3. Then a⋅b+b⋅c+c⋅a\mathbf{a}\cdot\mathbf{b}+\mathbf{b}\cdot\mathbf{c}+\mathbf{c}\cdot\mathbf{a} is equal to: (1) 00 (2) −7-7 (3) 77 (4) 11

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