Magnitude/Examples/Arbitrary Example 1

Example of Magnitude

Let $\mathbf v$ be the position vector in space defined as:

$\mathbf v = x \mathbf i + y \mathbf j + z \mathbf k$

The magnitude of $\mathbf v$ is given by:

$\size {x \mathbf i + y \mathbf j + z \mathbf k} = \sqrt {x^2 + y^2 + z^2}$


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): absolute value: 3.
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): absolute value: 3.
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