# coordinate way

Let  $P=(x,\,y,\,z)$  be a point in $\mathbb{R}^{3}$. If $N$ is the projection (http://planetmath.org/ProjectionOfPoint) of $P$ on the $xy$-plane, $A$ the projection of $N$ on the $x$-axis and $O$ the origin, then the broken line$PNAO$  is the coordinate way of the point $P$. The lengths of the line segments forming the coordinate way are

 $AO=|x|,\quad NA=|y|,\quad PN=|z|.$
Title coordinate way CoordinateWay 2013-03-22 17:28:45 2013-03-22 17:28:45 pahio (2872) pahio (2872) 11 pahio (2872) Definition msc 51N20 msc 51G05 msc 51-00 coordinate broken line