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In elastic city model, a metro track and...

In elastic city model, a metro track and a road above it are straight lines represented by `hat i` - `2 hat j` + `hat k` + `lambda` `(hat i + 2 hat j- 3 hat k)` and ` 2hat i` - `2 hat j` + `3 hat k` + `mu` `(-hat i + hat j- 2 hat k)` respectively.
Find the shortest distance between the metro track and the road, in the model. Show your work.

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