Vectors - Introduction Contents:

Slides:



Advertisements
Similar presentations
Introduction to Vectors March 2, What are Vectors? Vectors are pairs of a direction and a magnitude. We usually represent a vector with an arrow:
Advertisements

Using Vectors.
Vectors Sections 6.6. Objectives Rewrite a vector in rectangular coordinates (in terms of i and j) given the initial and terminal points of the vector.
According to properties of the dot product, A ( B + C ) equals _________. A) (A B) +( B C) B) (A + B) ( A + C ) C) (A B) – ( A C) D) ( A B ) + ( A C) READING.
UNIT 1 VECTORS. SECTION 1.1 VECTOR CONCEPTS A vector is a mathematical object with both MAGNITUDE (size) and DIRECTION.
Copyright © by Holt, Rinehart and Winston. All rights reserved. Objectives Distinguish between a scalar and a vector. Add and subtract vectors by using.
Phys211C1V p1 Vectors Scalars: a physical quantity described by a single number Vector: a physical quantity which has a magnitude (size) and direction.
Vectors. Definitions Scalar – magnitude only Vector – magnitude and direction I am traveling at 65 mph – speed is a scalar. It has magnitude but no direction.
Vectors A vector is a quantity that is characterized by both magnitude and direction. Vectors are represented by arrows. The length of the arrow represents.
Vectors. Vectors and Direction Vectors are quantities that have a size and a direction. Vectors are quantities that have a size and a direction. A quantity.
“Baby Vector Math” An Introduction to vectors By Amy Phillips.
Physics and Physical Measurement Topic 1.3 Scalars and Vectors.
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:
Introduction to Vectors
Section 10.2a VECTORS IN THE PLANE. Vectors in the Plane Some quantities only have magnitude, and are called scalars … Examples? Some quantities have.
3.1 Introduction to Vectors.  Vectors indicate direction; scalars do not  Examples of scalars: time, speed, volume, temperature  Examples of vectors:
Vectors A quantity which has both magnitude and direction is called a vector. Vector notations A B a AB = a AB x and y are the components of vector AB.
6.3 Vectors in the Plane I. Vectors. A) Vector = a segment that has both length and direction. 1) Symbol = AB or a bold lower case letter v. 2) Draw a.
Vector Quantities Vectors have ▫magnitude ▫direction Physical vector quantities ▫displacement ▫velocity ▫acceleration ▫force.
Two-Dimensional Motion and VectorsSection 1 Preview Section 1 Introduction to VectorsIntroduction to Vectors.
Geometric Vectors 8-1. What is a vector? Suppose we are both traveling 65mph on Highway 169 and we pass each other going opposite directions. I’m heading.
Warm Up 1) Draw a vector 2) Vectors are defined by their ____________and ___________.
Non Linear Arrays of charges Contents: 2-D Arrays Example Whiteboards.
Introduction to Vectors Unit 2 Presentation 1. What is a vector? Vector: A quantity that contains both a magnitude and a direction.  Represented by a.
Adding Vectors on the Same Line When two vectors are in the same direction it is easy to add them. Place them head to tail and simply measure the total.
Vectors - Adding two angle magnitude vectors Contents: The basic concept Step by step Sample problem.
Warm up 1. Find the magnitude of this vector 2. A vector has Initial point (0,2) and terminal point (9,15). Write this vector in component form. 3. Find.
I’m Thinking of a Number
Why do we study statics? To design this rocket and its structure we require basic knowledge of both statics and dynamics which form the subject matter.
Vectors Some quantities can be described with only a number. These quantities have magnitude (amount) only and are referred to as scalar quantities. Scalar.
Vectors A vector quantity has magnitude and direction Vector examplesScalar examples Velocitymass Displacementlength Accelerationvolume Forcetemperature.
Vectors Vectors vs. Scalars Vector Addition Vector Components
Physics and Physical Measurement Topic 1.3 Scalars and Vectors.
10/8 Do now The diagrams below represent two types motions. One is constant motion, the other, accelerated motion. Which one is constant motion and which.
Vectors Some quantities can be described with only a number. These quantities have magnitude (amount) only and are referred to as scalar quantities. Scalar.
ES2501: Statics/Unit 4-1: Decomposition of a Force
Review for: Unit 2 – Vectors
3.1 Two Dimensions in Motion and Vectors
Vectors - Adding two angle magnitude vectors Contents:
Outline Addition and subtraction of vectors Vector decomposition
Scalar: A quantity that has only magnitude Example: speed
Magnitude The magnitude of a vector is represented by its length.
9-6 Vectors.
Chapter 4 Vectors.
Vector Addition Describe how to add vectors graphically.
How do we add and subtract vectors?
Vectors: 5 Minute Review
6.1 – Vectors in the Plane.
Scalars and Vectors.
Physics and Physical Measurement
Vectors.
Lesson 3.1 Introduction to Vectors
Kinematics in 2 Dimensions Vectors
Scalars Some quantities, like temperature, distance, height, area, and volume, can be represented by a ________________ that indicates __________________,
Introduction and Mathematical Concepts
Unit 2: Algebraic Vectors
Dot Products There are two ways to multiply two vectors
Vectors Vectors are a way to describe motion that is not in a straight line. All measurements can be put into two categories: Scalars = magnitude Vectors.
Forces in Two Dimensions
Vectors An Introduction.
To get y, multiply x by 3 then add 2 To get y, multiply x by negative ½ then add 2 To get y, multiply x by 2 then subtract 3 To get y, multiply x.
Example: If line AB is parallel to line CD and s is parallel to t, find the measure of all the angles when m< 1 = 100°. Justify your answers. t
Unit 1: Intro to Physics Scalars & Vectors.
Divide the number in C by 10.
Distances and displacements
Introduction and Mathematical Concepts
Ch. 15- Vectors in 2-D.
Chapter 3 Vectors Questions 3-1 Vectors and Scalars
Physics and Physical Measurement
Honors Precalculus 4/19/18 IDs on and showing
Presentation transcript:

Vectors - Introduction Contents: What they are Handy Truths Types of vectors

Vectors - What they are Magnitude and Direction: 8 cm x 14 cm 320o

Vectors - Handy Truth #1 To reverse a vector, multiply by -1 +8 cm x

Vectors - Handy Truth #2 To add parallel ( ) or anti-parallel ( ) vectors simply add their magnitudes A = 8 cm x, B = -3 cm x A+B = 5 cm x

Vectors - Handy Truth #3 To add non-parallel vectors, place them tip to tail: Addition: A A B B A+B Did the order matter? Subtraction: A+ (-B) -B A A -B

Vectors - Types of vectors What was your shorter set of directions? Angle-Magnitude Vector Component A 36.87o A 4 cm x 3 cm y A = 4 cm x + 3 cm y ^ 5 cm 36.87o above level