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Line L1 is parallel to vector vecalpha=...

Line `L_1` is parallel to vector ` vecalpha=-3 hat i+2 hat j+4 hat k` and passes through a point `A(7,6,2)` and line `L_2` is parallel vector ` vecbeta=2 hat i+ hat j+3 hat k` and point `B(5,3,4)dot` Now a line `L_3` parallel to a vector ` vec r=2 hat i-2 hat j- hat k` intersects the lines `L_1a n dL_2` at points `Ca n dD ,` respectively, then find `| vec C D|dot`

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