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The angle between the lines (x+4)/1=(y-3...

The angle between the lines `(x+4)/1=(y-3)/2=(z+2)/3` and `x/3=(y-1)/(-2)=z/1` is

A

`sin^(-1)((1)/(7))`

B

`cos^(-1)((2)/(7))`

C

`cos^(-1)((1)/(7))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Angle between two lines is given by `cos theta=(1xx3+2xx-2+3xx1)/(sqrt(1^(2)+2^2+3^2)sqrt(3^(2)+(-2)^2+1^2))=2/(sqrt14 sqrt14)`
`therefore theta=cos^(-1) ((1)/(7))`
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