Mathematics · important
Condition for skew lines for JEE
Equation of a line; Skew lines, the shortest distance between them and its equation
Formula
\(\begin{vmatrix}x_2-x_1 & y_2-y_1 & z_2-z_1\\ a_1 & b_1 & c_1\\ a_2 & b_2 & c_2\end{vmatrix}\neq 0\)
Variables: Lines have points \((x_1,y_1,z_1)\), \((x_2,y_2,z_2)\) and direction ratios \((a_1,b_1,c_1)\), \((a_2,b_2,c_2)\).
Conditions: Lines are non-parallel.
Identifying skew lines before applying shortest distance formula.