Download presentation
Presentation is loading. Please wait.
Published byEdwina Houston Modified over 8 years ago
1
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!
2
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.
3
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!
6
Parallel vectors Same or opposite direction; could have different magnitudes Equivalent vectors Same magnitude and direction Opposite vectors Same magnitude, but opposite direction
8
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.
12
Page 497/ 1, 3, 11, 13
15
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!
16
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
20
Page 506/ 1, 3, 5, 7, 17, 19, 21, 23 Page 506/ 9, 24
21
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.
25
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!
27
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
31
Page 522/ 1, 3, 11, 13 – review Page 522/ 17, 21 – cross product
34
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.
37
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
Similar presentations
© 2024 SlidePlayer.com. Inc.
All rights reserved.