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Three lines are given by r=lambda hati...

Three lines are given by
`r=lambda hati, lambda in R`
`r=mu(hati +hatj ),mu in R`
and `r=v(hati+hatj+hatk),v in R`
Let the lines cut the plane `x+y+z=1` at the poitns A, B, and C respecitvely . If the area of the tiangle ABC is `Delta` then the value of `(6Delta)^2` equals..............

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