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V3 - Vector Norm

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Last modified by
on
Jul 24, 2020, 6:28:07 PM
Created by
on
May 25, 2014, 2:52:03 AM
`||vecv|| = sqrt(v_x^2 + v_y^2 + v_z^2)`
`"X-component of "`vecv``
`"Y-component of "`vecv``
`"Z-component of "`vecv``
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8d3f65ea-e3b7-11e3-b7aa-bc764e2038f2

This equation computes the Vector Norm, the positive length, of a vector from the Euclidean three space x,y,z components of the vector.

Inputs

  • `v_x` - the x-component of the vector, `vecv`
  • `v_y` - the y-component of the vector, `vecv`
  • `v_z` - the z-component of the vector, `vecv`

Usage

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

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


This equation, V3 - Vector Norm, is used in 4 pages
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