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Question 1
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If $\mathbf{a},\; \mathbf{b},\; \mathbf{c}$ are unit vectors such that $\mathbf{a} + \mathbf{b} + \mathbf{c} = 0$, then the value of $\mathbf{a}\cdot \mathbf{b} + \mathbf{b}\cdot \mathbf{c} + \mathbf{c}\cdot \mathbf{a}$ is:
A.
$\dfrac{2}{3}$
B.
$-\dfrac{2}{3}$
C.
$\dfrac{3}{2}$
D.
$-\dfrac{3}{2}$
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