How do we add and subtract vectors?

Slides:

Advertisements

Similar presentations

Properties of Algebra By: Grayson W.. Commutative Property When you add or multiply two numbers, it does not matter what order they are in. The sum and.

Advertisements

Chapter 3: Two Dimensional Motion and Vectors

Vectors Vectors and Scalars Vector: Quantity which requires both magnitude (size) and direction to be completely specified –2 m, west; 50 mi/h, 220 o.

Vectors: 5 Minute Review Vectors can be added or subtracted. ◦ To add vectors graphically, draw one after the other, tip to tail. ◦ To add vectors algebraically,

Vectors: 5 Minute Review Vectors can be added or subtracted. ◦ To add vectors graphically, draw one after the other, tip to tail. ◦ To add vectors algebraically,

1 Vectors and Two-Dimensional Motion. 2 Vector Notation When handwritten, use an arrow: When handwritten, use an arrow: When printed, will be in bold.

Vector Mathematics Physics 1.

3.1 Introduction to Vectors.  Vectors indicate direction; scalars do not  Examples of scalars: time, speed, volume, temperature  Examples of vectors:

Forces in 2D Chapter Vectors Both magnitude (size) and direction Magnitude always positive Can’t have a negative speed But can have a negative.

Vector Quantities We will concern ourselves with two measurable quantities: Scalar quantities: physical quantities expressed in terms of a magnitude only.

Adding Vectors Graphically CCHS Physics. Vectors and Scalars Scalar has only magnitude Vector has both magnitude and direction –Arrows are used to represent.

General physics I, lec 1 By: T.A.Eleyan 1 Lecture (2)

AP Physics C Mrs. Coyle. Coordinate Systems Vectors and Scalars Properties of Vectors Unit Vectors.

Coordinate Systems 3.2Vector and Scalar quantities 3.3Some Properties of Vectors 3.4Components of vectors and Unit vectors.

2-D motion (no projectiles – yet) Physics Chapter 3 section 1 Pages

Vectors. He takes off from Philadelphia International Airport He flies 20 miles North He then flies 10 miles at a heading 80° East of North Distance =

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.

Chapter 3 Honors Physics

Vector and Vector Resolution. Scalar Vector Vectors.

Motion ISCI Speed: change in distance over time Speed =  d /  t Constant vs. Average Speed Speed is a ‘scalar’ quantity No directional properties.

Vector Diagrams Motion in Two Dimensions

Properties of Algebra By: Zoe Gaffney. Associative Property Associative Property is when you change the numbers that are in the parenthesis. Example:

Associative Property MGSE9-12.N.CN.2: Associative property (addition, subtraction and multiplication)

CP Vector Components Scalars and Vectors A quantity is something that you measure. Scalar quantities have only size, or amounts. Ex: mass, temperature,

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 Vectors vs. Scalars Vector Addition Vector Components

Scalars and Vectors Physical Quantities: Anything that can be measured. Ex. Speed, distance, time, weight, etc. Scalar Quantity: Needs only a number and.

Vectors & Scalars Physics 11. Vectors & Scalars A vector has magnitude as well as direction. Examples: displacement, velocity, acceleration, force, momentum.

Learning Outcomes By the end of the chapter student should be able: to define vector quantity and scalar quantity and differentiate between them. to add.

Sept 4 th Vectors in two dimensions. Vectors in 2 dimensions There are two common ways to express the direction of a vector. 10° E of N = N 10° E Sometimes.

Vectors Some quantities can be described with only a number. These quantities have magnitude (amount) only and are referred to as scalar quantities. Scalar.

Review for: Unit 2 – Vectors

3.1 Two Dimensions in Motion and Vectors

Chapter 3 Vectors.

Vectors Unit 4.

Outline Addition and subtraction of vectors Vector decomposition

Chapter 4 Vectors.

Vectors Vector: a quantity that has both magnitude (size) and direction Examples: displacement, velocity, acceleration Scalar: a quantity that has no.

Vectors: 5 Minute Review

Vectors and Two Dimensional motion

10 m 16 m Resultant vector 26 m 10 m 16 m Resultant vector 6 m 30 N

1.3 Vectors and Scalars Scalar: shows magnitude

8-1 Geometric Vectors 8-2 Algebraic Vectors

2.1: An introduction to vectors

Chapter 3: Vectors Reading assignment: Chapter 3

Force and Motion in 2-D.

Chapter 3 Vectors.

Vectors More math concepts.

Chapter Vectors.

VECTORS Dr. Shildneck.

VECTORS Dr. Shildneck.

Ch. 3: Kinematics in 2 or 3 Dimensions; Vectors

Chapter 3 part 1 Vectors and Vector Addition

10 m 16 m Resultant vector 26 m 10 m 16 m Resultant vector 6 m 30 N

Vectors An Introduction.

Chapter 4 Vector Addition

ADDING VECTORS.

Vector Addition How to resolve vectors into components and algebraically add them using a spreadsheet.

Vector Addition Methods Graphical Method Component Method

Ch. 15- Vectors in 2-D.

Vectors A vector is a quantity which has a value (magnitude) and a direction. Examples of vectors include: Displacement Velocity Acceleration Force Weight.

Vectors - Introduction Contents:

Distinguish between scalars & vectors Add and subtract vectors

Vectors A vector is a quantity which has a value (magnitude) and a direction. Examples of vectors include: Displacement Velocity Acceleration Force Weight.

Presentation transcript:

How do we add and subtract vectors?

Vector Addition Last year, we learned the head to tail method of vector addition and the parallelogram method of vector addition. Compare the resultant using each method.

More examples of vector addition

Vector Subtraction Can you explain a rule for graphically subtracting vectors?

Vocabulary Commutative-having the property that one term operating on a second is equal to the second operating on the first Anti-Commutative-having the property that one term operating on a second is equal to the negative of the second operating on the first Associative-states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.

Adding Vectors Algebraically Which set of vectors would be easier to add? A= 7i + 3j and B=-2i +12j Or 2) A=8<30 and B=5 <275

Adding vectors Algebraically

Adding vectors algebraically Find the x- and y- components of each vector. Add the x- and y- components of each vector. Draw a resultant vector. Determine the magnitude of the resultant with the Pythagorean Theorem. Calculate the angle of the displacement using Inverse Tangent