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Consider the line L 1 : (x +1)/3 = (y ...

Consider the line ` L 1 : (x +1)/3 = (y +2)/1 = (z+ 1)/2, L2 : (x-2)/1 = (y+2)/2 = (z-3)/3 `

A

`2//sqrt(75)` unit

B

`7//sqrt(75)` units

C

`13//sqrt(75)` units

D

`23//sqrt(75)` units

Text Solution

Verified by Experts

The correct Answer is:
C
The equation of the plane passing through the point (-1,-2,-1) and whose normal is perpendicular to both the given lines `L_(1)` and `L_(2)` may be written as
`(x+1)+7(y+2)-5(z+1)=0impliesx+7y-5z+10=0`
The distance of the point (1,1,1) from the plane
`=|(1+7-5+10)/(sqrt(1+49+25))|=(13)/(sqrt(75))`units
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