Copyright © 2011 Pearson, Inc. 6.1 Vectors in the Plane.

Slides:

Advertisements

Similar presentations

Copyright © 2011 Pearson, Inc Day 1 Vectors in the Plane Goal: Apply the arithmetic of vectors.

Advertisements

10.2 day 1: Vectors in the Plane Greg Kelly, Hanford High School, Richland, WashingtonPhoto by Vickie Kelly, 2003 Mesa Verde National Park, Colorado.

10.4 MINIMAL PATH PROBLEMS 10.5 MAXIMUM AND MINIMUM PROBLEMS IN MOTION AND ELSEWHERE.

Chapter 3 Vectors in Physics.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide

APPLICATIONS OF TRIGONOMETRY

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 1 Homework, Page 484 Solve the triangle. 1.

Chapter 6 Applications of Trigonometry

Applications of Trigonometry

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 1 Homework, Page

3-2 Vectors and Scalars  Is a number with units. It can be positive or negative. Example: distance, mass, speed, Temperature… Chapter 3 Vectors  Scalar.

Copyright © 2011 Pearson, Inc. P.2 Cartesian Coordinate System.

Copyright © 2011 Pearson, Inc. 8.6 Three- Dimensional Cartesian Coordinate System.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 1.

Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 11.9 Curvature and Normal Vectors.

Vectors in the Plane Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 A ball flies through the air at a certain speed.

10.2 Vectors and Vector Value Functions. Quantities that we measure that have magnitude but not direction are called scalars. Quantities such as force,

6.1 – Vectors in the Plane. What are Vectors? Vectors are a quantity that have both magnitude (length) and direction, usually represented with an arrow:

Vectors in the Plane Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Objective Represent vectors as directed line.

Slide Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 8.2 L’Hôpital’s Rule.

10.2 Vectors in the Plane Quick Review What you’ll learn about Two-Dimensional Vectors Vector Operations Modeling Planar Motion Velocity, Acceleration,

Vectors and Applications BOMLA LacyMath Summer 2015.

Copyright © 2011 Pearson, Inc. 6.3 Parametric Equations and Motion.

Copyright © 2011 Pearson, Inc. 6.4 Polar Coordinates.

10.2 Vectors in the Plane Warning: Only some of this is review.

Copyright © Cengage Learning. All rights reserved. 10 Topics in Analytic Geometry.

10.2 day 1: Vectors in the Plane Greg Kelly, Hanford High School, Richland, WashingtonPhoto by Vickie Kelly, 2003 Mesa Verde National Park, Colorado.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley P.3 Linear Equations and Inequalities.

Copyright © 2011 Pearson, Inc. P.3 Linear Equations and Inequalities.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 1 Homework, Page 693 Draw a sketch that shows the point. 1.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 1 What you’ll learn about Two-Dimensional Vectors Vector Operations.

Finding the Component Form a Vector Use the velocity vector and angle measure to find the component form of the vector as shown: V = IvIcos”i” + IvIsin”j”

Copyright © Cengage Learning. All rights reserved. 6.3 Vectors in the Plane.

Copyright © 2010 Pearson Education Canada 9-1 CHAPTER 9: VECTORS AND OBLIQUE TRIANGLES.

11.1 Vectors in the Plane.  Quantities that have magnitude but not direction are called scalars. Ex: Area, volume, temperature, time, etc.  Quantities.

12.2 Vectors.  Quantities that have magnitude but not direction are called scalars. Ex: Area, volume, temperature, time, etc.  Quantities such as force,

Lecture Outline Chapter 3 Physics, 4 th Edition James S. Walker Copyright © 2010 Pearson Education, Inc.

Vectors in the Plane. Quick Review Quick Review Solutions.

OBJECTIVES: Represent vectors as directed line segments Write the component forms of vectors Perform basic vector operations and represent them graphically.

Copyright © 2011 Pearson, Inc. 6.1 Vectors in the Plane Day 2.

Vectors and Dot Product 6.4 JMerrill, Quick Review of Vectors: Definitions Vectors are quantities that are described by direction and magnitude.

11. Section 12.1 Vectors Vectors What is a vector and how do you combine them?

12 A VECTORS AND SCALARS 12 B GEOMETRIC OPERATIONS HOMEWORK: VIEW POWER POINT BEFORE NEXT CLASS.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 1 Quick Review.

Lecture Outline Chapter 3 Physics, 4th Edition James S. Walker

10.2 Vectors in a Plane Mesa Verde National Park, Colorado

Tuesday, March 3, 2015 HW: pg even on problems you also need to do the operations geometrically. Do Now: Take out your pencil, notebook,

10.2 day 1: Vectors in the Plane

Vectors in the Plane.

Lecture Outline Chapter 3

Vectors in the Plane Section 10.2.

6.1 – Vectors in the Plane.

10.2 Vectors in a Plane Mesa Verde National Park, Colorado

Vectors and Two Dimensional motion

Only some of this is review.

Precalculus PreAP/Dual, Revised ©2017

Lecture Outline Chapter 3 Physics, 4th Edition James S. Walker

6.1 Vectors in the Plane.

Section 8.6 Vector Operations

Lecture Outline Chapter 3 Physics, 4th Edition James S. Walker

Digital Lesson Vectors in the Plane.

Honors Precalculus 4/19/18 IDs on and showing

Velocity Vectors Chapter

Vectors in the Plane.

Journal Entry 7 Vector Analysis

Vectors Tip or head: D Tail: C

Lecture Outline Chapter 3 Physics, 4th Edition James S. Walker

11.2 Vectors in the Plane.

Presentation transcript:

Copyright © 2011 Pearson, Inc. 6.1 Vectors in the Plane

Copyright © 2011 Pearson, Inc. Slide What you’ll learn about Two-Dimensional Vectors Vector Operations Unit Vectors Direction Angles Applications of Vectors … and why These topics are important in many real-world applications, such as calculating the effect of the wind on an airplane’s path.

Copyright © 2011 Pearson, Inc. Slide Directed Line Segment

Copyright © 2011 Pearson, Inc. Slide Two-Dimensional Vector

Copyright © 2011 Pearson, Inc. Slide Initial Point, Terminal Point, Equivalent

Copyright © 2011 Pearson, Inc. Slide Head Minus Tail (HMT) Rule

Copyright © 2011 Pearson, Inc. Slide Magnitude

Copyright © 2011 Pearson, Inc. Slide Example Finding Magnitude of a Vector

Copyright © 2011 Pearson, Inc. Slide Example Finding Magnitude of a Vector

Copyright © 2011 Pearson, Inc. Slide Vector Addition and Scalar Multiplication

Copyright © 2011 Pearson, Inc. Slide Example Performing Vector Operations

Copyright © 2011 Pearson, Inc. Slide Example Performing Vector Operations

Copyright © 2011 Pearson, Inc. Slide Unit Vectors

Copyright © 2011 Pearson, Inc. Slide Example Finding a Unit Vector

Copyright © 2011 Pearson, Inc. Slide Example Finding a Unit Vector

Copyright © 2011 Pearson, Inc. Slide Standard Unit Vectors

Copyright © 2011 Pearson, Inc. Slide Resolving the Vector

Copyright © 2011 Pearson, Inc. Slide Example Finding the Components of a Vector

Copyright © 2011 Pearson, Inc. Slide Example Finding the Components of a Vector

Copyright © 2011 Pearson, Inc. Slide Example Finding the Direction Angle of a Vector

Copyright © 2011 Pearson, Inc. Slide Example Finding the Direction Angle of a Vector

Copyright © 2011 Pearson, Inc. Slide Example Finding the Direction Angle of a Vector

Copyright © 2011 Pearson, Inc. Slide Example Finding the Direction Angle of a Vector

Copyright © 2011 Pearson, Inc. Slide Velocity and Speed The velocity of a moving object is a vector because velocity has both magnitude and direction. The magnitude of velocity is speed.

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions

Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions