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Let L 1 : 2 1 – x = 3 2 – y = 4 3 – z and L 2 : 5 5 – z 4 4 – y 3 2 – x = = be two lines. Then which of the following points lies on the line of the shortest distance between L 1 and L 2 ?

1. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 1 , 7 ,– 3 5 –
2. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 1 , 3 , 2
3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 1 , 1 ,– 3 8
4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 22 , 3 ,– 3 14

Correct answer: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 22 , 3 ,– 3 14

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