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Let L(1) and L(2) denote the lines vecr=...

Let `L_(1)` and `L_(2)` denote the lines `vecr=veci+lamda(-hati+2hatj+2hatk),lamdainR` and `vecr=mu(2hati-hatj+2hatk),muinR`
Respectively if `L_(3)` is a line which is perpendicular to both `L_(1)` and `L_(2)` and cuts both of them, then which of the following options describe(s) `L_(3)`?

A

`vec(r) = (2)/(9) (4 hati + hatj + hatk) + t (2 hati + 2hatj - hatk), tin RR `

B

`vecr = (2)/(9) ( 2hati - hatj + 2 hat k ) + t (2hati + 2hatj - hatk) , t in RR `

C

`vecr=(1)/(3) ( 2hati + hatk) + t(2hati + 2hatj - hatk) , t in RR`

D

`vecr = t (2hati + 2hatj - hatk) ,t in RR`

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