Mathematics · essential
Equation of line of shortest distance between two skew lines: direction vector for JEE
Equation of a line; Skew lines, the shortest distance between them and its equation
Formula
\(\vec d=\vec b_1\times\vec b_2\)
Variables: \(\vec b_1,\vec b_2\) are direction vectors of the two skew lines; \(\vec d\) is direction vector of their common perpendicular.
Conditions: \(\vec b_1\times\vec b_2\neq \vec 0\).
Constructing the line representing the shortest distance between skew lines.