Has a zero vector one unit
The length (the amount) of a vector Andreas Pester University of Applied Sciences Techikum Kärnten, Villach
[email protected]Summary: In this section the term length (amount) of a vector is explained
Keywords: Definition | Normalized vector | Properties of the amount
The Length of a vector is in math Amount of the vector called.
|Length (amount) of the vector :|
The magnitude of a vector is a scalar quantity and is always positive, unless it is a zero vector (amount equal to zero). The zero vector has length zero and any direction.
For the three-dimensional Euclidean space R3 the amount of a vector is calculated according to the following formula, where ax, ay and az the vector coordinates are:
The sign T just means that the vector is transposed. This operation turns a row vector into a column vector, and vice versa, a column vector becomes a row vector.
|A vector is called normalized, if||applies. It has the length 1.|
If holds, we can use the vector normalize according to the following formula:
|is the normalized vector|
|The amount of||is|
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