Magnitude of a Vector

How far did you actually move?

The magnitude is the straight-line distance the vector covers - just like using Pythagoras' theorem to find the direct distance across a field instead of walking along its edges.

|a| = √(x² + y²) for a = (x,y)

Example: a = (3,4). |a| = √(9+16) = √25 = 5.

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