The equation \(\bar{r} = \bar{a} + \lambda \bar{b} + \mu \bar{c}\) represents a plane passing through a point having position vector \(\bar{a}\) and parallel to vectors \(\bar{b}\) and \(\bar{c}.\)
Here,
The vector equation of the plane passing through A(\(\bar{a}\)) and parallel to \(\bar{b}\) and \(\bar{c}\) is
∴ the vector equation of the given plane is
This is the cartesian equation of the required plane.
