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The angle between the lines whose direct...

The angle between the lines whose direction cosines are `(sqrt3/4,1/4,sqrt3/2) and (sqrt3/4,1/4,(-sqrt3)/2)` is

A

`pi`

B

`pi/2`

C

`pi/3`

D

pi/4`

Text Solution

Verified by Experts

The correct Answer is:
C
`thereforecostheta=|l_1l_2+m_1m_2+n_1n_2|`
`=|sqrt3/4xxsqrt3/4+1/4xx1/4+sqrt3/2xx((-sqrt3)/2)|`
`=|3/(16)+1/(16)-3/4|=|-2/4|=1/2`
`therefore" "theta=pi/3`
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