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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

`(-hati+7hatj+7hatk)/(sqrt(99))`

B

`(-hati-7hatj+5hatk)/(5sqrt(3))`

C

`(-hati+7hatj+5hatk)/(5sqrt(3))`

D

`(7hati-7hatj-hatk)/(sqrt(99))`

Text Solution

Verified by Experts

The correct Answer is:
b
`|{:(hati,,hatj,,hatk),(3,,1,,2), (1,,2,,3):}|=-hati-7hatj+5hatk`
Hence, the unit vector will be `(-hati-7hatj+5hatk)/(5sqrt3)`
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