How would you find the line of intersection of the planes:
and
Ref attachment, you will know how to do
Traditional method is complex.
To introduce new ***
Cross product could be replaced sometimes,
For example:
Plane 2 ( ) equation
It means
Normal vector of Plane 2 is
By this method , we could skip cross product especially when dimension is more than 3
Finally, line cross original point, equation
***