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The magnitude (or size) of a quantity (either vector or scalar) is a measure of how big it is.

It is usually encountered explicitly in the context of vectors:

If $\mathbf v$ is the vector quantity in question, then its magnitude is denoted:

$\size {\mathbf v}$



Also defined as

In Euclidean number theory, the term magnitude is used to mean positive real number.

Also known as

The magnitude of a vector is also referred to as its module or modulus in some older books.

Some sources refer to it as the absolute value of the vector.

Also see