If →a,→b and →c are three unit vectors equally inclined to each, then the maximum angle between vectors is
A
π2
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B
π3
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C
2π3
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D
5π3
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Solution
The correct option is C2π3 Let →a,→b and →c are three unit vectors inclined to each other at an angle θ. ⇒(→a+→b+→c)2≥0 ⇒|→a|2+|→b|2+|→c|2+2(→a⋅→b+→b⋅→c+→c⋅→a)≥0 ⇒3+6cosθ≥0 ⇒cosθ≥−12 ∴θmax=2π3