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Read the following passage and answer th...

Read the following passage and answer the questions. Consider the lines
`L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2)`
`L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3)`
Q. The unit vector perpendicular to both `L_(1) and L_(2)` is

A

`(-hat(i)+7hat(j)+7hat(k))/(sqrt(99))`

B

`(-hat(i)-7hat(j)+5hat(k))/(5sqrt(3))`

C

`(-hat(i)+7hat(j)+5hat(k))/(5sqrt(3))`

D

`(7hat(i)-7hat(j)-hat(k))/(sqrt(99))`

Text Solution

Verified by Experts

The correct Answer is:
(b)
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