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

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 (parametric form)

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

Find the vector and Cartesian equations of a plane passing through the point (1,-1,1) and normal to theline joining the point (1,2,5) and (-1,3,1)

Equation of plane passes through two points and parallel to a line

Find the vector and Cartesian equations of the plane passing through the origin and parallel to the vectors (hati+hatj-hatk) and (3hati-hatk) .