Magnitude of a vector

|\vec{u}|=\sqrt{x^2+y^2}

Result unit: length units

What it describes

The length (magnitude) of a vector with coordinates

[x,y]

|\vec{u}|

magnitude of the vector

x, y

coordinates of the vector

The magnitude of a vector is the Pythagorean theorem applied to its coordinates — the distance from the start to the end of the vector.

Magnitude of a vector; velocities and forces treated geometrically.

Vector

\vec u=[3,4]

. Find its magnitude.

Substitution

x=3

y=4

Result

|\vec u|=\sqrt{9+16}=5

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