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The angle between the two lines having d...

The angle between the two lines having direction cosines `(2/sqrt(6),-1/sqrt6,1/sqrt6) and (1/sqrt6,1/sqrt6,2/sqrt6)` is

A

`pi/6`

B

`pi/4`

C

`pi/2`

D

`pi/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Given `(l_1,m_1,n_1)=(2/sqrt6,(-1)/sqrt6,1/sqrt6)`
and `(l_2,m_2,n_2) = (1/sqrt6,(1)/sqrt6,2/sqrt6)`
`therefore" "costhetal_1l_2+m_1m_2+n_1n_2`
`rArr" "costheta=2/sqrt6xx1/sqrt6+(-1/sqrt6)xx1/sqrt6+1/sqrt6xx2/sqrt6`
`=2/6-1/6+2/6=3/6=1/2`
`rArr" "theta=pi/6`
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