Vectors

Here is the syllabus for the topics. In Demana it is the beginning of Chapter 6.  In Brown it is Chapter 12.  The skills you should know for manipulating and using vectors are listed here.  Make sure you know how to do all of them before the test!

4/01   Intro to Vectors

             Demana p.464-465/3-27 by 3's and 29-39 odd and Brown p.423,425/5-7, 17-20

4/02   Angles between vectors, The Dot Product

             Brown p.444-445/1-19 odd, 23, 27-29

4/03   Vector Proofs (D: 6.1 and B: 12.1, 12.2)

             finish worksheet plus Brown p.425-426/21-23 and p.429-431/11,12,15,18,27-29,33,34

4/05   Equations of Lines, Vectors in 3D

             finish worksheet plus B p.436-437/17,18,23 and D p.466/63,64

             If you still feel that you need extra practice to feel comfortable with the material,

             section 12.5 in the Brown book is the place to go (clear explanations, good

             diagrams, comprehensive problems).

4/08   More 3D: Equations of Planes, vectors perpendicular to planes (B: 12.5)

             Worksheet problems 1-10 plus B p.452/42-45 and p.455/15,21,28-31,33,34

             We talked about equations of planes & vectors perpendicular to the planes. Read the

             corresponding explanations in the book. They are very clear, have lots of examples and

             better pictures than anything I can draw. (This reading should be considered

             part of the homework!)

4/09   Spheres, vectors & planes, Angles between planes (B: 12.5, 12.6)

             B p.450-451/11,13,17,27,31-36,41,42 and p.456-458/21,25,27,34,35,37-39

4/10   The Cross Product

             Vector Cross Product worksheet

4/12   Projections, Distance from a point to a plane

             Work on worksheet and do "Points, Lines and Planes in 3D" problems 11-14

4/13-4/21   April Vacation

4/22   Review Day 1 (download a practice test, download solutions)

• We went through finding the distance from a point to a line in 2D and a point to a plane in 3D. The question arose about finding the distance from a point to a line in 3D. Look again at the homework problems in the Brown book: p.457-458/34-39.
• For projection practice, do Demana p.473/25-28 and 58a.
• If you did not do so, finish the 3D points, lines and planes worksheet (problems 11-14).
• Other than that, go back and make sure you have done and understood all of the previous homework in light of the objective skills of the unit. 

4/23  Extension problems

4/24  Vector Unit Test