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If hata,hatb and hatc are three unit vec...

If `hata,hatb and hatc` are three unit vectors inclined to each other at an angle `theta`. The maximum value of `theta` is

A

`pi/3`

B

`pi/2`

C

`(2pi)/3`

D

`(5pi)/5`

Text Solution

Verified by Experts

The correct Answer is:
c
`(hata+hatb + hatc)^(2)ge0`
`3+2(hata.hatb+vecb.hatc+vecc.veca)ge0`
` 3 + 6 cos theta ge 0`
`cos theta ge - 1/2`
`Rightarrow theta= (2pi)/3`
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