Presentation is loading. Please wait.

Presentation is loading. Please wait.

Vector A quantity that shows both magnitude and direction.

Published byMadeline Wood Modified over 9 years ago

Similar presentations

Presentation on theme: "Vector A quantity that shows both magnitude and direction."— Presentation transcript:

1 Vector A quantity that shows both magnitude and direction.

2 Vector Examples  Position  Displacement  Velocity  Acceleration  Force  Momentum

3 Vectors (One dimension)  vector = +/- scalar directionmagnitude +: right, up, north, east-: left, down, south, west ex: +3.9 m/s, -5.2 N, -76 m

4 Vectors (Two Dimensional)  v = vector v = magnitude, angle direction = magnitude @ angle direction = magnitude @ angle direction = magnitude = magnitude (called magnitude-angle form)  A, v, d 1, F R  In a book a vector is represent as a bold letter, e.g. A  Examples: v=3.4 m/s, 25º = 3.4 m/s @ 25º = 3.4 m/s F=8.2 N, -64º = 8.2 N @ -64º = 8.2 N d=47 m, 15º N of W = 47 m @ 15º N of W = 47 m angle direction 25° -64° 15° N of W

5 Graphically Representing a Vector θ A A=A, θ A=magnitude of vector A = length of vector A The tail of the vector The head (tip) of the vector A vector can be moved; as long as the magnitude and direction are the same the vector is unchanged. A

6 Negative of a Vector (Opposite Direction of a Vector) θ+180° -A A=A, θ A = 5.6 m/s, 60°-A= 5.6 m/s, 240° -A=A, θ±180 The negative of a vector has the same magnitude as the original vector with a 180° difference in direction A Same magnitude, but a direction difference of 180°

7 Scaling a Vector  A=A, θ  aA=aA, θ  (To scale a vector, only multiply the magnitude of the vector by the factor; the angle is unchanged).  A=4.0 m/s, 23°  2A=8.0 m/s, 23° Twice as long as the original vector, but in the same direction.

8 Vector Direction Conventions 0º0º 90º 180º 270º -270º -180º -90º E S N W E N W S E of N N of E S of E E of S W of S S of W N of W W of N

9 Example of Vector Direction Conventions A A=3.4 km, 57° B B = 7.9 m/s, 18° S of W

10 Component Form of a Vector v vxvx vyvy v

11 Example of the Component Form of a Vector v 4.0 m/s 3.0 m/s v

12 Conversion of a Vector in Magnitude-Angle Form to Component Form

13 Conversion of Component Form to Magnitude-Angle Form of a Vector v magnitude of v direction of v adjust angle for quadrant, If necessary Example:

Download ppt "Vector A quantity that shows both magnitude and direction."

Similar presentations

Year 10 Pathway C Mr. D. Patterson.  Distinguish between scalar and vector quantities  Add and subtract vectors in 2 dimensions using scaled diagrams.

Year 10 Pathway C Mr. D. Patterson.  Distinguish between scalar and vector quantities  Add and subtract vectors in 2 dimensions using scaled diagrams.
Motion Vectors. Displacement Vector  The position vector is often designated by.  A change in position is a displacement.  The displacement vector.

Motion Vectors. Displacement Vector  The position vector is often designated by.  A change in position is a displacement.  The displacement vector.
PHY 1151 Principles of Physics I

PHY 1151 Principles of Physics I
Vectors and Scalars AP Physics B. Scalar A SCALAR is ANY quantity in physics that has MAGNITUDE, but NOT a direction associated with it. Magnitude – A.

Vectors and Scalars AP Physics B. Scalar A SCALAR is ANY quantity in physics that has MAGNITUDE, but NOT a direction associated with it. Magnitude – A.
Phys211C1V p1 Vectors Scalars: a physical quantity described by a single number Vector: a physical quantity which has a magnitude (size) and direction.

Phys211C1V p1 Vectors Scalars: a physical quantity described by a single number Vector: a physical quantity which has a magnitude (size) and direction.
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.

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.
Review Displacement Average Velocity Average Acceleration

Review Displacement Average Velocity Average Acceleration
Chapter 3, Vectors. Outline Two Dimensional Vectors –Magnitude –Direction Vector Operations –Equality of vectors –Vector addition –Scalar product of two.

Chapter 3, Vectors. Outline Two Dimensional Vectors –Magnitude –Direction Vector Operations –Equality of vectors –Vector addition –Scalar product of two.
Vectors You will be tested on your ability to: 1.correctly express a vector as a magnitude and a direction 2. break vectors into their components 3.add.

Vectors You will be tested on your ability to: 1.correctly express a vector as a magnitude and a direction 2. break vectors into their components 3.add.
Section 1 Objectives The student should be able to: 1.Distinguish between a scalar and a vector 2.Combine vectors using graphical methods 3.Multiply and.

Section 1 Objectives The student should be able to: 1.Distinguish between a scalar and a vector 2.Combine vectors using graphical methods 3.Multiply and.
3.1 Introduction to Vectors.  Vectors indicate direction; scalars do not  Examples of scalars: time, speed, volume, temperature  Examples of vectors:

3.1 Introduction to Vectors.  Vectors indicate direction; scalars do not  Examples of scalars: time, speed, volume, temperature  Examples of vectors:
Vector Quantities Vectors have ▫magnitude ▫direction Physical vector quantities ▫displacement ▫velocity ▫acceleration ▫force.

Vector Quantities Vectors have ▫magnitude ▫direction Physical vector quantities ▫displacement ▫velocity ▫acceleration ▫force.
I NTRODUCTION TO V ECTORS MCV4U. K EY T ERMS scalar vector displacement velocity force geometric vector magnitude true bearing quadrant bearing parallel.

I NTRODUCTION TO V ECTORS MCV4U. K EY T ERMS scalar vector displacement velocity force geometric vector magnitude true bearing quadrant bearing parallel.
Aim: How can we distinguish between a vector and scalar quantity? Do Now: What is the distance from A to B? Describe how a helicopter would know how to.

Aim: How can we distinguish between a vector and scalar quantity? Do Now: What is the distance from A to B? Describe how a helicopter would know how to.
Vectors: Magnitude and direction Examples for Vectors: force – acceleration- displacement Scalars: Only Magnitude A scalar quantity has a single value.

Vectors: Magnitude and direction Examples for Vectors: force – acceleration- displacement Scalars: Only Magnitude A scalar quantity has a single value.
Chapter 3 – Two Dimensional Motion and Vectors

Chapter 3 – Two Dimensional Motion and Vectors
Vector Basics. OBJECTIVES CONTENT OBJECTIVE: TSWBAT read and discuss in groups the meanings and differences between Vectors and Scalars LANGUAGE OBJECTIVE:

Vector Basics. OBJECTIVES CONTENT OBJECTIVE: TSWBAT read and discuss in groups the meanings and differences between Vectors and Scalars LANGUAGE OBJECTIVE:
2-D motion (no projectiles – yet) Physics Chapter 3 section 1 Pages 84-87.

2-D motion (no projectiles – yet) Physics Chapter 3 section 1 Pages
Part 1 Motion in Two Dimensions Scalars A scalar is a quantity that can be completely described by a single value called magnitude. Magnitude means size.

Part 1 Motion in Two Dimensions Scalars A scalar is a quantity that can be completely described by a single value called magnitude. Magnitude means size.
Vectors What is a vector?. Basics There are two types of values used everyday in the world to describe movement and quantity. Scalars and Vectors These.

Vectors What is a vector?. Basics There are two types of values used everyday in the world to describe movement and quantity. Scalars and Vectors These.

Similar presentations

Ads by Google