Section 11.2 Space Coordinates and Vectors in Space

Next, we want to extend the ideas of vectors into three dimensions Before we can do that, though, we need to be able to identify points in three-space.

In this text we use the Right-handed system.

common formulas that extend easily to 3-D Distance formula Midpoint formula Equation of a 3-D circle (AKA a sphere)

Definition of Parallel Vectors Two nonzero vectors are parallel if they are scalar multiples of each other. In other words, to get one vector, you can multiply the other by a constant.

Alternate form of the dot product