If →a,→b,→c are three unit vectors, each is inclined at an angle π3 with the other, then scalar triple product [→a→b→c] equals
A
12
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B
1√2
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C
1√3
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D
14
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Solution
The correct option is B1√2 Given →a,→b,→c are unit vectors |→a|=|→b|=|→c|=1 Now, →a.→b=|→a||→b|cosπ3 ⇒→a.→b=12 Hence, option 'B' is correct. →a.→b=→b.→c=→c.→a=12