Theory of Everything - View Single Post

AntonioLao · 04-22-2005, 01:46 PM

Quote:

Originally Posted by GUILLE

Why don't they equal the same?

commutativity does not always apply to hypergeometric numbers such as vectors, tensors, and matrices. Each kind of numbers has its specified algebraic rules of manipulation and operation.

the vector cross product (outer product) is not commutative but the vector scalar product (inner product) is commutative.

$V_1 \times V_2 \neq V_2 \times V_1$

$V_1 \cdot V_2 = V_2 \cdot V_1$

And in quantum mechanics, the uncertainty principle is an attestment to the noncommutativity of the product between wavelength and momentum

$\lambda p - p \lambda \geq \hbar$

if they commute then

$\lambda p - p \lambda = 0$