 What you should know: Basic Trig (SOHCAHTOA), Pythagorean Theorem, Compass directions, a little Physics (34/35 of you), angle properties (Geometry!).  What you will learn:  Represent and operate with vectors geometrically and in a coordinate plane  Solve physics problems using vectors  Find the dot and cross product of two or more vectors  Work in THREE dimensions!

 At the end of the chapter, after the unit test, you will have to complete a project.  This project will have some math, a lot of physics, a video, and a presentation…and maybe much, much more!  You will develop a real-life situation and model it using vectors! Yay!  More to come as we near the end of the chapter.

 Scalar vs. vector  Scalar = magnitude or size  Ex.) speed and mass are the most common scalar quantities.  A boat traveling at 15 knots  Vector = scalar + direction  Ex.) velocity and weight are the most common vector quantities.  A boat traveling at 15 knots due west.  Work on page 488/ 1, 3, 5 – 2 minutes!

 Parallel vectors  Same or opposite direction; could have different magnitudes  Equivalent vectors  Same magnitude and direction  Opposite vectors  Same magnitude, but opposite direction

 When two or more vectors are added, their sum is a single vector called the resultant.  Two methods…  Triangle (head to tail)  Resultant is from tail of first vector to head of second vector.  Parallelogram (tail to tail)  Resultant is the diagonal of the parallelogram.

 Page 497/ 1, 3, 11, 13

 In Physics, when you drew your FBDs and studied projectile motion, you were actually drawing vectors all over the place. Weird. Those vectors are made up of components. Woh!

 Page 497/ 21, 23, 39, 41, 43, 45, 47  Page 497/ 19, 53.  Page 488/ 10, 11, 12, 23, 43, 49  Page 497/ 5, 7, 9, 15, 17, 25, 49, 51  Challenge yourself: Page 488/ 37

 Page 506/ 1, 3, 5, 7, 17, 19, 21, 23  Page 506/ 9, 24

 We’re not covering it.  You are more than welcome to read through it on your own. It is ANOTHER way to solve the problems that we’re about to do.  I will cover it the physics way, which will require knowledge of geometry. The vector projection way sort of doesn’t.

 Make sure you can do these skills…  Page 506/ 7, 21  If you can’t, ask for help and do more from those sections before you move on.  Now, apply…  Page 506/ 24, 34 (the first one), 34, 35, 37, 39, 41, 43, 46, 57  Anything you don’t finish, do for homework. Quiz tomorrow!

 Review and practice problems involving…  The distance and midpoint formulas in three dimensions  Page 514/ 9, 11, 13  Plotting points/vectors in three dimensions  Page 514/ 1, 3, 17, 19  Finding the component and magnitude of vectors  Page 514/ 25, 27, 29  Operations in vector space.  Page 514/ 37, 43

 Page 522/ 1, 3, 11, 13 – review  Page 522/ 17, 21 – cross product

 I blame Dennis for yesterday’s debacle.  Real talk – I really appreciate you all hanging with me. I especially appreciate everyone who spoke and attempted to help solve the problem. You showed amazing perseverance.

 Page 522/ 23, 25, 27, 31, 33, 41, 49, 51, 53, 59.  Page 522/ 57  Page 522/ 1, 3, 11, 13 – review  Page 522/ 17, 21 – cross product  Page 514/ 9, 11, 13  Page 514/ 1, 3, 17, 19  Page 514/ 25, 27, 29  Page 514/ 37, 43