Equation of plane passing through given point and normal to given vector

equation of line passing through 2 given points

Equation of line passing through a given point and parallel to given line

Derive the equation of a line in space passing through a given point and parallel to a given vector in both Vector an Cartesian form.

Derive the equation of a line in space passing through a given pont and parallel to a given vector in both vector and Cartesian form.

Equation of line passing through a given point and perpendicular to given line

Equation of plane passing through A(a,b,c) and normal to OA is

Equations of plane passing through P(a,a,0) and normal to OP is

Equation of plane passes through a point and parallel to two given lines(non parametric form

Equation of plane passes through a point and parallel to two given lines (parametric form)

Derive the equation of a line space passing through two given points both in vector and cartesian form.