Maths - Projections of planes on planes

We want to find the component of plane A that is parallel to plane B and the component of plane A that is perpendicular to plane B.

Since the planes are infinite the projection of plane A onto plane B will be the whole of plane B.

If there is a scalar value associated with the plane then, will that value be reduced depending on the angle between the planes?

Related Question

Can we project points in the 2 dimensional coordinates of one plane into the points in the 2 dimensional coordinates of another plane?


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Book Shop - Further reading.

Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.

flag flag flag flag flag flag New Foundations for Classical Mechanics (Fundamental Theories of Physics). This is very good on the geometric interpretation of this algebra. It has lots of insights into the mechanics of solid bodies. I still cant work out if the position, velocity, etc. of solid bodies can be represented by a 3D multivector or if 4 or 5D multivectors are required to represent translation and rotation.


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