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