5-Vector Norm

Last modified by

MichaelBartmess

on

Jul 24, 2020, 6:28:07 PM

Created by

MichaelBartmess

on

Mar 7, 2017, 3:48:31 AM

$||vecv|| = sqrt("vec"_1^2 + "vec"_2^2 + "vec"_3^2+ "vec"_4^2 + "vec"_5^2)$

$(vec"Vec")"Vector"$

Inputs

$vec"Vec"_1$ - the 1st component of the 4-vector, $vec"Vec"$
$vec"Vec"_2$ - the 2nd component of the 4-vector, $vec"Vec"$
$vec"Vec"_3$ - the 3rd component of the 4-vector, $vec"Vec"$
$vec"Vec"_4$ - the 4th component of the 4-vector, $vec"Vec"$
$vec"Vec"_5$ - the 5th component of the 4-vector, $vec"Vec"$

Usage

There all kinds of vectors applied in physics for forces, positions, velocities, acceleration, etc. The position vector, often represented by $vecr$ can be decomposed into its three components parallel to the Euclidean three-space axes: $vecr = r_xrhati + r_yhatj + r_zhatk$ .

Similarly, a velocity vector could be decomposed into its three Euclidean components as: $vecv = v_xrhati + v_yhatj + v_zhatk$

Then spacetime has four component, as do numerous other physics elements, so that $vec"Vec" = "Vec"_1hatu + "Vec"_2hatv + "Vec"_3hatw + "Vec"_4hatx$

This equation computes the norm of a 5-vector. The 5-vector does not represent some geometric and/or time representation of space. It can represent many different conceptual mathematics that have 5 elements that comply with the general rules for vector mathematics.

5-Vector Norm

Inputs

Usage

See Also

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