# Difference between revisions of "Points and Vectors"

From GeoGebra Manual

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− | Points and vectors may be entered via [[Input Bar]] in Cartesian or polar coordinates (see [[Numbers and Angles]]). Points can also be created using [[Point tools]], [[Vector from Point Tool]], | + | Points and vectors may be entered via [[Input Bar]] in Cartesian or polar coordinates (see [[Numbers and Angles]]). Points can also be created using [[Image:Tool New Point.gif]] [[Point tools]], [[Image:Tool Vector from Point.gif]] [[Vector from Point Tool]], |

− | [[Vector between Two Points Tool]] and a variety of [[Commands|commands]]. | + | [[Image:Tool Vector between Two Points.gif]] [[Vector between Two Points Tool]] and a variety of [[Commands|commands]]. |

{{note|Upper case labels denote points, whereas lower case labels refer to vectors. This convention is not mandatory.}} | {{note|Upper case labels denote points, whereas lower case labels refer to vectors. This convention is not mandatory.}} |

## Revision as of 11:28, 26 July 2011

Points and vectors may be entered via Input Bar in Cartesian or polar coordinates (see Numbers and Angles). Points can also be created using Point tools, Vector from Point Tool,
Vector between Two Points Tool and a variety of commands.

**Note:**Upper case labels denote points, whereas lower case labels refer to vectors. This convention is not mandatory.

**Example:**

- To enter a point P or a vector v in Cartesian coordinates you may use
`P = (1, 0) or v = (0, 5)`

. - In order to use polar coordinates type in
`P = (1; 0°) or v = (5; 90°)`

.

**Note:**You need to use a semicolon to separate polar coordinates. If you don’t type the degree symbol, GeoGebra will treat the angle as if entered in radians.

In GeoGebra, you can also do calculations with points and vectors.

**Example:**

- You can create the midpoint M of two points A and B by entering
`M = (A + B) / 2`

into the Input Bar. - You may calculate the length of a vector v using
`length = sqrt(v * v)`