Given :

Vector equation of the plane is

To Find : Cartesian equation of the given plane.

Formulae :

1) Dot Product :

If are two vectors

then,

Given the equation of the plane is

Here,

= (x × 3) + (y × 5) + (z × (-9))

= 3x + 5y – 9z

Therefore equation of the plane is

3x + 5y – 9z = 8

This is the Cartesian equation of the given plane.