If $\to a, \to b$ and $\to c$ are unit vectors then $| \to a - \to b |^{2} + | \to b - \to c |^{2} + | \to c - \to a |^{2}$ does not exceed.

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Solution

The correct option is B 9
$| \to a | = | \to b | = | \to c | = 1 | \to a + \to b + \to c | \geq 0 \sum | \to a |^{2} + 2 \sum \to a . \to b \geq 0 \sum \to a . \to b \geq - \frac{3}{2} G i v e n v a l u e = \sum | \to a - \to b |^{2} = 2 \sum | a |^{2} - 2 \sum \to a . \to b \leq 6 - 2 (- \frac{3}{2}) \leq 9$

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