6.36.3 Vectors in the Plane. Quick Review Quick Review Solutions.

Slides:



Advertisements
Similar presentations
6.3 Vectors in the plane Day 1 Objectives: - define vectors
Advertisements

10.2 Vectors and Vector Value Functions
6.3 Vectors in the Plane Many quantities in geometry and physics, such as area, time, and temperature, can be represented by a single real number. Other.
Vector Operations in R 3 Section 6.7. Standard Unit Vectors in R 3 The standard unit vectors, i(1,0,0), j(0,1,0) and k(0,0,1) can be used to form any.
11 Analytic Geometry in Three Dimensions
Copyright © 2011 Pearson, Inc Day 1 Vectors in the Plane Goal: Apply the arithmetic of vectors.
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.
Phy 212: General Physics II Chapter : Topic Lecture Notes.
6.3 Vectors Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 1 Students will: Represent vectors as directed line segments. Write the.
Copyright © Cengage Learning. All rights reserved.
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.
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.
Vectors Precalculus. Vectors A vector is an object that has a magnitude and a direction. Given two points P: & Q: on the plane, a vector v that connects.
Vectors TS: Explicitly assessing information and drawing conclusions. Warm Up: a)What are the coordinates of A and B b)What is the distance between A and.
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.
Copyright © 2011 Pearson, Inc. 6.1 Vectors in the Plane.
Chapter 6 Additional Topics in Trigonometry
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.
10.2 Vectors in the Plane Warning: Only some of this is review.
Copyright © Cengage Learning. All rights reserved. 10 Topics in Analytic Geometry.
Jeopardy! for the Classroom
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 Slide 6- 1 What you’ll learn about Two-Dimensional Vectors Vector Operations.
Vectors.
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.
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,
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.
Warm-Up 12/04 1. A. Rigor: You will learn how to represent and operate with vectors in the coordinate plane and to write a vector as a linear combination.
Vectors and Dot Product 6.4 JMerrill, Quick Review of Vectors: Definitions Vectors are quantities that are described by direction and magnitude.
Section 6.3. A ball flies through the air at a certain speed and in a particular direction. The speed and direction are the velocity of the ball. The.
Vectors in the Plane 8.3 Part 1. 2  Write vectors as linear combinations of unit vectors.  Find the direction angles of vectors.  Use vectors to model.
11. Section 12.1 Vectors Vectors What is a vector and how do you combine them?
Vectors in the Coordinate Plane LESSON 8–2. Lesson Menu Five-Minute Check (over Lesson 8-1) TEKS Then/Now New Vocabulary Key Concept: Component Form of.
Section 6.3 Vectors 1. The student will represent vectors as directed line segments and write them in component form 2. The student will perform basic.
Warm Up 1)Find the magnitude and direction of a vector with initial point (-5, 7) and terminal point (-1, -3). 2)Find, in simplest form, the unit vector.
Splash Screen.
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
6.1 – Vectors in the Plane.
10.2 Vectors in a Plane Mesa Verde National Park, Colorado
6.3-Vectors in the Plane.
Vectors, Linear Combinations and Linear Independence
Scalars Some quantities, like temperature, distance, height, area, and volume, can be represented by a ________________ that indicates __________________,
Only some of this is review.
Applications of Vectors
Precalculus PreAP/Dual, Revised ©2017
Splash Screen.
35. Resolving Vectors (applications)
6.1 Vectors in the Plane.
Copyright © Cengage Learning. All rights reserved.
Honors Precalculus 4/24/18 IDs on and showing.
Section 8.6 Vector Operations
Digital Lesson Vectors in the Plane.
6.3 Vectors in the Plane Ref. p. 424.
Velocity Vectors Chapter
Vectors in the Plane.
35. Resolving Vectors (applications)
Section 6.3 Vectors in the Plane.
Vectors.
Presentation transcript:

Vectors in the Plane

Quick Review

Quick Review Solutions

What you’ll learn about How to represent vectors as directed line segments How to perform basic Vector Operations How to write vectors as linear combinations of Unit Vectors How to find the Direction Angles of vectors How to use vectors to model and solve real-life problems … and why These topics are important in many real-world applications, such as calculating the effect of the wind on an airplane’s path.

Directed Line Segment

Two-Dimensional Vector

Initial Point(R), Terminal Point(S), Equivalent(P)

Magnitude

Example Finding Magnitude of a Vector

Vector Addition and Scalar Multiplication

Example Performing Vector Operations

Unit Vectors

Example Finding a Unit Vector

Standard Unit Vectors

Resolving the Vector

Example Finding the Components of a Vector

Example Finding the Direction Angle of a Vector

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.

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.