Re: Geometry: No four vectors can be pairwise at an right angle to each other


Hero wrote:
Randy Poe schrieb:

There is no such thing as vectors which are orthogonal
in that sense which do NOT form right angles. Is that
clear enough?

Everyone of us knows a 3D-cartesian coordinate-system and many can do
vector calculations in a space like this. Three kind of multiplications
are common, the dot product resulting in a number (scalar), the vector
( cross ) -product resulting in a 3D-vector and the multiplication of a
number (scalar) with a vector, scaling this vector and, if negative,
giving it the opposite direction.
None of these multiplications forms a group.

[snip random word salad].

You wrote a bunch of random gobbledegook and did not comment
on the above.

Do you agree or disagree: There is no such thing as vectors
in R^n which are orthogonal under the dot product and which
do not form right angles.

- Randy


- Randy

.

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