2012-05-10

Why is the normal transformation a inverse transpose? (5)


Normal defined by inner product

Let's think about a normal is defined by inner product.
As you see, the normal is actually in a row space instead of in a column space.
A coordinate transformation matrix M is a transformation of a column vector.
Therefore, the following equation is not defined.
This is my second explanation what is the difference between normal vector and usual vector.

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