Magnitude of Vector (xy Axis)

This formula lets the user enter a two dimensional vector with X and Y and calculates the magnitude of the vector |V|.   The formula to compute the vector magnitude is:

           `|V| = sqrt(x²+y²)`

where:

• |V| is the magnitude of the vector
• x and y are the components of the vector.

Visually, the magnitude of the vector is the length of measurement from the origin of the coordinate system to the end point of the vector.

3D Vector Functions

• multiply a vector by a scalar
• divide a vector by a scalar
• add two vectors
• subtract two vectors
• compute the dot product of two vectors
• compute the cross product of two vectors
• compute the unit vector of a vector
• compute the magnitude of a vector
• project a vector onto another vector
• compute the angle between two vectors
• rotate a vector around an axis
• convert spherical coordinates into a vector
• convert a vector into spherical coordinates

Reference

University Physics 12th Edition, Chapter 1, Equation #1.7