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`|V| = sqrt(x^2+y^2+z^2)`

Enter a value for all fields

The **Magnitude of the Position Vector** calculator computes the magnitude of a vector base on three Cartesian coordinates

**INSTRUCTIONS:** Choose units and enter the following:

- (
**x**) This is the X component of the position vector. - (
**y**) This is the Y component of the position vector. - (
**z**) This is the Z component of the position vector.

**Position Vector Magnitude |V|:** The calculator returns the magnitude in kilometers. However this can be automatically converted to compatible units via the pull-down menu.

The magnitude of a position vector is often use to compute the distance of an object (e.g. satellite) from the center of gravity of the system (e.g. the center of the Earth). Position vectors are based on length units. The most common units in aerospace are kilometers and nautical miles.

The formula for the magnitude of a position vector is:

`|V| = sqrt(x^2 + y^2 + z^2)`

where:

- |V| = magnitude of the position vector
- x = x coordinate
- y = y coordinate
- z = z coordinate

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