The reciprocal of the distance between two points, one on each of the lines 3 x − 2 = 2 y − 4 = 5 z − 5 and 2 x − 1 = 3 y − 2 = 4 z − 3

Question

The reciprocal of the distance between two points, one on each of the lines 3 x − 2 ​ = 2 y − 4 ​ = 5 z − 5 ​ and 2 x − 1 ​ = 3 y − 2 ​ = 4 z − 3 ​

TestHub · Accepted Answer

The shortest distance (SD) is given by: S D = ​ ​ i ^ 2 3 ​ j ^ ​ 3 2 ​ k ^ 4 5 ​ ​ ​ ​ ​ 2 − 1 2 3 ​ 4 − 2 3 2 ​ 5 − 3 4 5 ​ ​ ​ ​ = 78 ​ 1 ​

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