This equation computes the Vector Norm, the positive length of a vector, of the four-vector , →Vec.
Inputs
- →Vec1 - the 1st component of the 4-vector, →Vec
- →Vec2 - the 2nd component of the 4-vector, →Vec
- →Vec3 - the 3rd component of the 4-vector, →Vec
- →Vec4 - the 4th component of the 4-vector, →Vec
Usage
There all kinds of vectors applied in physics for forces, positions, velocities, acceleration, etc. The position vector, often represented by →r can be decomposed into its three components parallel to the Euclidean three-space axes: →r=rxrˆi+ryˆj+rzˆk.
Similarly, a velocity vector could be decomposed into its three Euclidean components as: →v=vxrˆi+vyˆj+vzˆk
Then spacetime has four component, as do numerous other physics elements, so that →Vec=Vec1ˆu+Vec2ˆv+Vec3ˆw+Vec4ˆx
This equation computes the norm of a 4-vector. The 4-vector does not have to represent some geometric and/or time representation of space. It can represent many different conceptual elements that have 4 components that comply with the general rules for vector mathematics.
