Difference between revisions of "Radius vector"
From Encyclopedia of Mathematics
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The radius vector is also called the position vector. | The radius vector is also called the position vector. | ||
| − | If a system of axes is given through the origin having a basic system of directions | + | If a system of axes is given through the origin having a basic system of directions $v_1,\ldots,v_n$, then the $i$-th coordinate of the position vector with respect to this [[Affine coordinate system|affine coordinate system]] is determined by the factor $x_i$ such that $x_iv_i$ is the parallel projection of the position vector onto the $i$-th axis along the remaining directions. |
Latest revision as of 21:12, 14 April 2014
of a point in a space
The vector going to this point from a certain point fixed in advance, which is called the origin.
Comments
The radius vector is also called the position vector.
If a system of axes is given through the origin having a basic system of directions $v_1,\ldots,v_n$, then the $i$-th coordinate of the position vector with respect to this affine coordinate system is determined by the factor $x_i$ such that $x_iv_i$ is the parallel projection of the position vector onto the $i$-th axis along the remaining directions.
How to Cite This Entry:
Radius vector. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Radius_vector&oldid=17826
Radius vector. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Radius_vector&oldid=17826
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article