Calculate the magnitude (length) of a 2D or 3D vector.
Vector Components
Vector Properties
Magnitude (|v|)5.0000Euclidean length of the vector
Direction (2D Angle)53.13°Angle from positive X-axis
What is Vector Magnitude?
The magnitude of a vector represents its length or size. In physics, if a vector represents velocity, its magnitude is the speed. It is calculated using the distance formula (Pythagorean theorem) from the origin.
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Pro Tips
2D Vectors: Leave Z as 0 or empty.
Direction: For 2D vectors, direction is often given as the angle θ = arctan(y/x).
Unit Vector: Dividing a vector by its magnitude gives a unit vector.
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Fun Facts
"Vectors have both magnitude and direction."
"The magnitude is always a non-negative number."
"In 3D game engines, calculating magnitude involves a square root, which is computationally expensive."
