We have:
(1)
(2)
If x lies on the intersection, then we must have that x satisfies both (1) and (2)
So.
Which determines a line in
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
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