The equation of the plane in the intercept form is , where a, b and c are the intercepts on the x, y and z-axis, respectively.
It is given that the intercepts made by the plane on the x, y and z-axis are 3, –4 and 2, respectively.
∴ a = 3, b = −4, c = 2
Thus, the equation of the plane is
This is the vector form of the equation of the given plane.