Math 251 Lecture 06: Monday, September 20th 1999.

It was shown that the magnitude of the cross product gives the area of a parallelogram, and the triple scalar product gives the volume of a parallelepiped. Physics applications of the cross product were also mentioned briefly.

The equation of a line in 3-Dimensions was considered, as in section 11.5 of the textbook. Using vectors makes for a compact derivation.

The equation of a plane in 3-Dimensions was also derived, using the dot-product of the normal vector with a vector in the plane.

Some Maple examples were given, showing how to plot lines and planes in 3-dimensions. Maple plotting will be covered in more detail when we do quadric surfaces and space curves.

Some problems from section 11.5 were given, which will be part of assignment #02, due next Friday, September 24th (along with the problems from last Friday's lecture).

An example was worked out, which involved finding the equation of a plane given three points in the plane.


SFU / Math & Stats / ~hebron / math251 / lec_notes / lec06.html

Revised 20 September 1999 by John Hebron.