V3 - Vector Norm

vCalc Reviewed

$||vecv|| = sqrt(v_x^2 + v_y^2 + v_z^2)$

$"X-component of "$ vecv

$"Y-component of "$ vecv

$"Z-component of "$ vecv

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: $vecv = v_xrhati + v_yhatj + v_zhatk$