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Consider the line L 1 : x 1 y 2 z 1 31...

Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

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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