Rectangular Coordinates

Topics:

• Be able to determine the location of a point in space using rectangular coordinates.
• Be able to find the distance between and the midpoint of two points in space.

Functions of one variable are graphed in the xy-plane

Functions with two independent variables are graphed in Cartesian 3-Space ${\mathbb{R}}^3:(x,y,z)\in \mathbb{R}$

Three axes, Three planes and Eight Octants !400

Equations with two variables graphed in ${\mathbb{R}}^2$ we get curves Equations with three variables graphed in ${\mathbb{R}}^3$ we get surfaces

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Example Plot the point P(2,3,4).

!400

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