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The magnitude, or size, of a vector a\underline{i}+b\underline{j} in 2 dimensions is found by the formula: \sqrt{(a^2+b^2)}
The magnitude, or size, of a vector a\underline{i}+b\underline{j}+c\underline{k} in 3 dimensions is found by the formula: \sqrt{(a^2+b^2+c^2)}
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Summary/Background

The formula for the magnitude of a vector is basically Pythagoras' theorem extended to 3 dimensions.

Software/Applets used on this page

jsMath
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Glossary

magnitude

A measure of the size of a mathematical object

union

The union of two sets A and B is the set containing all the elements of A and B.

vector

A mathematical object with magnitude and direction.

Full Glossary List