Lines and Planes, and Geometry of Vectors in 3D Space - Calculus 3

This video explains how vectors (particularly the dot and cross product) can be used to define lines and planes in 3D space, parametrize lines, and compute the distance between a point and a line or plane, and provides worked example practice problems.

0:00 Definition and parameterization of lines in 3D space
3:53 Distance from a point to a line using the cross product
5:04 Defining the plane equation using the dot product
7:52 Intersecting planes
9:18 Distance from a point to a plane
11:20 Angle between planes
12:44 Worked examples