Romano Amodeo well remembers that every vectorial movement is always
a  couple Action-Reaction.
Two opposite vectors form every real advancement in the space.
Their product is what transforms their two opposite movements in a
scalar space.
Any movement can have its opposition not only in its direction, but
also in the orthogonal one.

Therefore in a triangle having an angle of 90°, the real scalar space
is the product of its two opposite component vectors, in way that the
real scalar distance between two side having the same origin, results
by the sum of their scalar quantities that consider the III Dynamic
Principle of Action and Reaction. This sum is the squared hypotenuse.
In fact also the hypotenuse, being a scalar quantity, is the product
of its two components: that named “real one” and its “imaginary”
opposition.

We are living in this orthogonal space since our space is scalar one.
The Euclidean space isn’t our own, and this because we perceive a
reality having 4 representative dimensions through the projection in
the orthogonal Cartesian axes xyz that perfectly decompose every
oblique direction in its perfect orthogonal components.

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