Magnitude of Velocity Vector

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

Enter a value for all fields

The Magnitude of a Velocity Vector calculator computes the magnitude of velocity based on the three orthogonal components.

INSTRUCTIONS: Choose units and enter the following:

(v_x) X component of velocity
(v_y) Y component of velocity
(v_z) Z component of velocity

Velocity Vector Magnitude (`|vecv|`): The calculator returns the magnitude in meters per second. However, this can be automatically converted to compatible units via the pull-down menu.

Magnitude Calculators

3D Vector Functions

k⋅V - scalar multiplication
V/k - scalar division
V / |V| - Computes the Unit Vector
|V| - Computes the magnitude of a vector
U + V - Vector addition
U - V - Vector subtraction
|U - V| - Distance between vector endpoints.
|U + V| - Magnitude of vector sum.
V • U - Computes the dot product of two vectors
V x U - Computes the cross product of two vectors
V x U • W - Computes the mixed product of three vectors
Vector Angle - Computes the angle between two vectors
Vector Area - Computes the area between two vectors
Vector Projection - Compute the vector projection of V onto U.
Vector Rotation - Compute the result vector after rotating around an axis.
Vector Components 3D - Returns a vector's magnitude, unit vector, spherical coordinates, cylindrical coordinates and angle from each axis.
(ρ, θ, φ) to (x,y,z) - Spherical to Cartesian coordinates
(x,y,z) to (ρ, θ, φ) - Cartesian to Spherical coordinates
(r, θ, z) to (x,y,z) - Cylindrical to Cartesian coordinates
(x,y,z) to (r, θ, z) - Cartesian to Cylindrical coordinates
(x,y) to (r, θ) - Cartesian to Polar
(r, θ) to (x,y) - Polar to Cartesian
Vector Normal to a Plane Defined by Three Points

Reference

University Physics 12th Edition, Chapter 3, Equation #3.6