Wednesday, 21 August 2013

Shortest distance between two lines

Shortest distance between two lines

Suppose L1 and L2 be the two lines in 3D, suppose P1 and P2 be two points
on L1, L2 resp. such that distance(P2-P1) is shortest distance between L1
and L2. Does vector (P2-P1) need to be perpendicular to both L1 and L2? If
so, then why? Is it true for 2D space also?

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