Question

Can you please help mein understanding the shortest distance calculation between two skew line in 3 dimwnsional space ? Take usual vector notations for any two lines with points a1 and a2 and each parallel to b1 and b2 respectively . Thanks in advance

( Skew lines do not Cohabit a Common plane).

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Answer 1

Skew Lines in 3-D Geometry

In three-dimensional geometry, we are always dealing with objects in the three-dimensional Cartesian space. One of the key elements of three-dimensional geometry is the straight line, also sometimes simply referred to as a line.

There can be various ways in which two lines are related in the three-dimensional space. Our focus in the following section shall be on skew lines. The objective is to find out how to measure the distance between such skew lines.

Note that in case the two skew lines are intersecting, the shortest distance between them must necessarily be zero. The other cases are that of parallel lines and skew lines. Skew Lines are basically, lines that neither intersect each other nor are they parallel to each other in the three-dimensional space.

Answer 2

Answer:

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