Vector Magnitude 3D
Calculate the Euclidean magnitude (L2 norm) of a 3D vector. Also provides the normalized unit vector and direction angles for physics, engineering, and 3D game development.
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Applications
Used by physics students for force vector analysis, game developers for direction normalization, and engineers for structural load calculations.
The Formula
Magnitude (L2 norm) = sqrt(x^2 + y^2 + z^2). Unit vector = (x/mag, y/mag, z/mag). Direction angles = arccos(component/magnitude).
Fun Fact: The L2 norm is the most common vector magnitude in physics and computer graphics — it's the straight-line distance from the origin to the point (x, y, z) in 3D space!
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