Mathematics · essential
Cartesian equation of a line through a point and with direction ratios for JEE
Equation of a line; Skew lines, the shortest distance between them and its equation
Formula
\(\frac{x-x_1}{a}=\frac{y-y_1}{b}=\frac{z-z_1}{c}\)
Variables: \((x_1,y_1,z_1)\) is a point on the line and \((a,b,c)\) are direction ratios.
Conditions: Use suitable reduced form if any of \(a,b,c\) is zero.
Standard equation of line in symmetric form.