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6

Part of 1984 Iran MO (2nd round)

Problems(1)

Length of common perpendicular - [Iran Second Round 1984]

Source:

12/30/2010
Let DD and D′D' be two lines with the equations \frac{x-1}{2} = \frac{y-1}{3} = \frac{z-1}{4}   \text{and}   \frac{x+1}{2} = \frac{y+2}{4} = \frac{z-1}{3}. Find the length of their common perpendicular.