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The angle between the lines whose direct...

The angle between the lines whose direction ratios are proportional to `(1,1,2)` and `(sqrt(3)-1,-sqrt(3)-1,4)` is

A

`45^@`

B

`30^@`

C

`60^@`

D

`90^@`

Text Solution

Verified by Experts

The correct Answer is:
A
Let `theta` be the angle between the gioven lines. Then
`costheta=(1xx(sqrt3-1)xx(-sqrt3-1)+2xx4)/(sqrt(1+1+4)sqrt((sqrt3-1)^2+(-sqrt3-1)^2+4))`
`=1/sqrt2`
`rArrtheta=45^@`
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