Find a Cartesian equation for the plane P in R3 that passes through the points A(1,0,0), B(0,3,0) and C(0,0,4).
I there any way to do this question without using the cross product?
Componentwise it looks like this.
And from there it is easy to form the equation of the plane, just substituting and in the first equation with the expression from second and third eq.
There you have it mate.