SlideShare a Scribd company logo
1 of 18
Introduction and Mathematical Concepts Chapter 1
1.5  Scalars and Vectors A  scalar  quantity is one that can be described by a single number: temperature, speed, mass A  vector  quantity deals inherently with both  magnitude and direction: velocity, force, displacement
1.5  Scalars and Vectors By convention, the length of a vector arrow is proportional to the magnitude of the vector. 8 lb 4 lb Arrows are used to represent vectors.  The direction of the arrow gives the direction of the vector.
1.5  Scalars and Vectors
1.6  Vector Addition and Subtraction Often it is necessary to add one vector to another.
1.6  Vector Addition and Subtraction 5 m 3 m 8 m
1.6  Vector Addition and Subtraction
1.6  Vector Addition and Subtraction 2.00 m 6.00 m
1.6  Vector Addition and Subtraction 2.00 m 6.00 m R
1.6  Vector Addition and Subtraction 2.00 m 6.00 m 6.32 m
1.6  Vector Addition and Subtraction When a vector is multiplied  by -1, the magnitude of the  vector remains the same, but  the direction of the vector is  reversed.
1.6  Vector Addition and Subtraction
1.7  The Components of a Vector
1.7  The Components of a Vector
1.7  The Components of a Vector It is often easier to work with the  scalar components   rather than the vector components.
1.7  The Components of a Vector Example A displacement vector has a magnitude of 175 m and points at an angle of 50.0 degrees relative to the  x  axis.  Find the  x  and  y components of this vector.
1.8  Addition of Vectors by Means of Components
1.8  Addition of Vectors by Means of Components

More Related Content

What's hot

AP Physics 1 - Introduction
AP Physics 1 - IntroductionAP Physics 1 - Introduction
AP Physics 1 - Introductionmlong24
 
Engmech 01 (vectors)
Engmech 01 (vectors)Engmech 01 (vectors)
Engmech 01 (vectors)physics101
 
Power Notes -Measurements and Dealing with Data. Day 2
Power Notes  -Measurements and Dealing with Data. Day 2Power Notes  -Measurements and Dealing with Data. Day 2
Power Notes -Measurements and Dealing with Data. Day 2jmori
 
2 2 unit conversions
2 2 unit conversions2 2 unit conversions
2 2 unit conversionsjwallach
 
Understanding scalar and vector quantities
Understanding scalar and vector quantitiesUnderstanding scalar and vector quantities
Understanding scalar and vector quantitiesInternational advisers
 
1.5 form 4 d_scalar and vectors
1.5 form 4 d_scalar and vectors1.5 form 4 d_scalar and vectors
1.5 form 4 d_scalar and vectorschris lembalemba
 
Power Notes Mmeasurements and Dealing with Data + Quickwrite. day 2
Power Notes   Mmeasurements and Dealing with Data + Quickwrite. day 2Power Notes   Mmeasurements and Dealing with Data + Quickwrite. day 2
Power Notes Mmeasurements and Dealing with Data + Quickwrite. day 2jmori
 
Chapter 3 Forces
Chapter 3 ForcesChapter 3 Forces
Chapter 3 Forceskelvinkim6
 
Ch13 forcessection2
Ch13 forcessection2Ch13 forcessection2
Ch13 forcessection2cwyatt01
 

What's hot (19)

Units of measurement
Units of measurementUnits of measurement
Units of measurement
 
Metric Measurement
Metric MeasurementMetric Measurement
Metric Measurement
 
Vectors
VectorsVectors
Vectors
 
AP Physics 1 - Introduction
AP Physics 1 - IntroductionAP Physics 1 - Introduction
AP Physics 1 - Introduction
 
Radians
RadiansRadians
Radians
 
Engmech 01 (vectors)
Engmech 01 (vectors)Engmech 01 (vectors)
Engmech 01 (vectors)
 
Measurement
MeasurementMeasurement
Measurement
 
Power Notes -Measurements and Dealing with Data. Day 2
Power Notes  -Measurements and Dealing with Data. Day 2Power Notes  -Measurements and Dealing with Data. Day 2
Power Notes -Measurements and Dealing with Data. Day 2
 
2 2 unit conversions
2 2 unit conversions2 2 unit conversions
2 2 unit conversions
 
Understanding scalar and vector quantities
Understanding scalar and vector quantitiesUnderstanding scalar and vector quantities
Understanding scalar and vector quantities
 
1-4 Measuring Angles
1-4 Measuring Angles1-4 Measuring Angles
1-4 Measuring Angles
 
1.5 form 4 d_scalar and vectors
1.5 form 4 d_scalar and vectors1.5 form 4 d_scalar and vectors
1.5 form 4 d_scalar and vectors
 
1-5 Exploring Angle Pairs
1-5 Exploring Angle Pairs1-5 Exploring Angle Pairs
1-5 Exploring Angle Pairs
 
Power Notes Mmeasurements and Dealing with Data + Quickwrite. day 2
Power Notes   Mmeasurements and Dealing with Data + Quickwrite. day 2Power Notes   Mmeasurements and Dealing with Data + Quickwrite. day 2
Power Notes Mmeasurements and Dealing with Data + Quickwrite. day 2
 
Physics 1
Physics 1Physics 1
Physics 1
 
Chapter 3 Forces
Chapter 3 ForcesChapter 3 Forces
Chapter 3 Forces
 
Elastic behaviour of Springs and Mass on a spring
Elastic behaviour of Springs and Mass on a springElastic behaviour of Springs and Mass on a spring
Elastic behaviour of Springs and Mass on a spring
 
Measurement
MeasurementMeasurement
Measurement
 
Ch13 forcessection2
Ch13 forcessection2Ch13 forcessection2
Ch13 forcessection2
 

Similar to Ch01 scalars and vectors

Scalar and vector quantities
Scalar and vector quantitiesScalar and vector quantities
Scalar and vector quantitiesKagisho Sebothoma
 
Manish Kumar 27600720003 (1) (1).pptx
Manish Kumar 27600720003 (1) (1).pptxManish Kumar 27600720003 (1) (1).pptx
Manish Kumar 27600720003 (1) (1).pptxpravakarpoddar
 
LO 1.1. USE PHYSICAL QUANTITIES.pdf
LO 1.1. USE PHYSICAL QUANTITIES.pdfLO 1.1. USE PHYSICAL QUANTITIES.pdf
LO 1.1. USE PHYSICAL QUANTITIES.pdfHabyarimanaProjecte
 
Electric and Magnetic Fields (EEE2303)-lecture 1-3 - Vector Analysis.pptx
Electric and Magnetic Fields (EEE2303)-lecture 1-3 - Vector Analysis.pptxElectric and Magnetic Fields (EEE2303)-lecture 1-3 - Vector Analysis.pptx
Electric and Magnetic Fields (EEE2303)-lecture 1-3 - Vector Analysis.pptxmonaibrahim598401
 
Vectors
VectorsVectors
Vectorseliseb
 
Physics 1.3 scalars and vectors
Physics 1.3 scalars and vectorsPhysics 1.3 scalars and vectors
Physics 1.3 scalars and vectorsJohnPaul Kennedy
 
2-1 Intro To Vectors
2-1 Intro To Vectors2-1 Intro To Vectors
2-1 Intro To Vectorsrkelch
 
Motion 5 vectors introduction (shared)
Motion 5 vectors   introduction (shared)Motion 5 vectors   introduction (shared)
Motion 5 vectors introduction (shared)LThistlewood
 
Vectors - part 1 concept
Vectors - part 1 conceptVectors - part 1 concept
Vectors - part 1 conceptAkash Deep
 
Scalars and Vectors
Scalars and VectorsScalars and Vectors
Scalars and Vectorsirfan sultan
 
Lesson 5 scalars and vectors error bars
Lesson 5 scalars and vectors error barsLesson 5 scalars and vectors error bars
Lesson 5 scalars and vectors error barsdrmukherjee
 
WEEK_2-3PPT_Vector_and_Scalar.pptx
WEEK_2-3PPT_Vector_and_Scalar.pptxWEEK_2-3PPT_Vector_and_Scalar.pptx
WEEK_2-3PPT_Vector_and_Scalar.pptxMayFrailynDubria
 

Similar to Ch01 scalars and vectors (20)

Vectors.pptx
Vectors.pptxVectors.pptx
Vectors.pptx
 
Scalar and vector quantities
Scalar and vector quantitiesScalar and vector quantities
Scalar and vector quantities
 
Manish Kumar 27600720003 (1) (1).pptx
Manish Kumar 27600720003 (1) (1).pptxManish Kumar 27600720003 (1) (1).pptx
Manish Kumar 27600720003 (1) (1).pptx
 
LO 1.1. USE PHYSICAL QUANTITIES.pdf
LO 1.1. USE PHYSICAL QUANTITIES.pdfLO 1.1. USE PHYSICAL QUANTITIES.pdf
LO 1.1. USE PHYSICAL QUANTITIES.pdf
 
Electric and Magnetic Fields (EEE2303)-lecture 1-3 - Vector Analysis.pptx
Electric and Magnetic Fields (EEE2303)-lecture 1-3 - Vector Analysis.pptxElectric and Magnetic Fields (EEE2303)-lecture 1-3 - Vector Analysis.pptx
Electric and Magnetic Fields (EEE2303)-lecture 1-3 - Vector Analysis.pptx
 
Vectors
VectorsVectors
Vectors
 
Vectors
VectorsVectors
Vectors
 
Physics 1.3 scalars and vectors
Physics 1.3 scalars and vectorsPhysics 1.3 scalars and vectors
Physics 1.3 scalars and vectors
 
2-1 Intro To Vectors
2-1 Intro To Vectors2-1 Intro To Vectors
2-1 Intro To Vectors
 
Ahmed
AhmedAhmed
Ahmed
 
Motion 5 vectors introduction (shared)
Motion 5 vectors   introduction (shared)Motion 5 vectors   introduction (shared)
Motion 5 vectors introduction (shared)
 
2 vectors
2 vectors2 vectors
2 vectors
 
Vectors - part 1 concept
Vectors - part 1 conceptVectors - part 1 concept
Vectors - part 1 concept
 
Chapter 2
Chapter 2Chapter 2
Chapter 2
 
Module No. 21
Module No. 21Module No. 21
Module No. 21
 
Vectors v5
Vectors v5Vectors v5
Vectors v5
 
Scalars and Vectors
Scalars and VectorsScalars and Vectors
Scalars and Vectors
 
2.1 motion 2015
2.1 motion 20152.1 motion 2015
2.1 motion 2015
 
Lesson 5 scalars and vectors error bars
Lesson 5 scalars and vectors error barsLesson 5 scalars and vectors error bars
Lesson 5 scalars and vectors error bars
 
WEEK_2-3PPT_Vector_and_Scalar.pptx
WEEK_2-3PPT_Vector_and_Scalar.pptxWEEK_2-3PPT_Vector_and_Scalar.pptx
WEEK_2-3PPT_Vector_and_Scalar.pptx
 

Recently uploaded

4.11.24 Poverty and Inequality in America.pptx
4.11.24 Poverty and Inequality in America.pptx4.11.24 Poverty and Inequality in America.pptx
4.11.24 Poverty and Inequality in America.pptxmary850239
 
Unraveling Hypertext_ Analyzing Postmodern Elements in Literature.pptx
Unraveling Hypertext_ Analyzing  Postmodern Elements in  Literature.pptxUnraveling Hypertext_ Analyzing  Postmodern Elements in  Literature.pptx
Unraveling Hypertext_ Analyzing Postmodern Elements in Literature.pptxDhatriParmar
 
week 1 cookery 8 fourth - quarter .pptx
week 1 cookery 8  fourth  -  quarter .pptxweek 1 cookery 8  fourth  -  quarter .pptx
week 1 cookery 8 fourth - quarter .pptxJonalynLegaspi2
 
Q-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITWQ-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITWQuiz Club NITW
 
ROLES IN A STAGE PRODUCTION in arts.pptx
ROLES IN A STAGE PRODUCTION in arts.pptxROLES IN A STAGE PRODUCTION in arts.pptx
ROLES IN A STAGE PRODUCTION in arts.pptxVanesaIglesias10
 
Mythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITWMythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITWQuiz Club NITW
 
Student Profile Sample - We help schools to connect the data they have, with ...
Student Profile Sample - We help schools to connect the data they have, with ...Student Profile Sample - We help schools to connect the data they have, with ...
Student Profile Sample - We help schools to connect the data they have, with ...Seán Kennedy
 
ICS2208 Lecture6 Notes for SL spaces.pdf
ICS2208 Lecture6 Notes for SL spaces.pdfICS2208 Lecture6 Notes for SL spaces.pdf
ICS2208 Lecture6 Notes for SL spaces.pdfVanessa Camilleri
 
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdfGrade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdfJemuel Francisco
 
ESP 4-EDITED.pdfmmcncncncmcmmnmnmncnmncmnnjvnnv
ESP 4-EDITED.pdfmmcncncncmcmmnmnmncnmncmnnjvnnvESP 4-EDITED.pdfmmcncncncmcmmnmnmncnmncmnnjvnnv
ESP 4-EDITED.pdfmmcncncncmcmmnmnmncnmncmnnjvnnvRicaMaeCastro1
 
MS4 level being good citizen -imperative- (1) (1).pdf
MS4 level   being good citizen -imperative- (1) (1).pdfMS4 level   being good citizen -imperative- (1) (1).pdf
MS4 level being good citizen -imperative- (1) (1).pdfMr Bounab Samir
 
Textual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHSTextual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHSMae Pangan
 
How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17Celine George
 
Narcotic and Non Narcotic Analgesic..pdf
Narcotic and Non Narcotic Analgesic..pdfNarcotic and Non Narcotic Analgesic..pdf
Narcotic and Non Narcotic Analgesic..pdfPrerana Jadhav
 
ClimART Action | eTwinning Project
ClimART Action    |    eTwinning ProjectClimART Action    |    eTwinning Project
ClimART Action | eTwinning Projectjordimapav
 
Congestive Cardiac Failure..presentation
Congestive Cardiac Failure..presentationCongestive Cardiac Failure..presentation
Congestive Cardiac Failure..presentationdeepaannamalai16
 
Man or Manufactured_ Redefining Humanity Through Biopunk Narratives.pptx
Man or Manufactured_ Redefining Humanity Through Biopunk Narratives.pptxMan or Manufactured_ Redefining Humanity Through Biopunk Narratives.pptx
Man or Manufactured_ Redefining Humanity Through Biopunk Narratives.pptxDhatriParmar
 
Scientific Writing :Research Discourse
Scientific  Writing :Research  DiscourseScientific  Writing :Research  Discourse
Scientific Writing :Research DiscourseAnita GoswamiGiri
 
Mental Health Awareness - a toolkit for supporting young minds
Mental Health Awareness - a toolkit for supporting young mindsMental Health Awareness - a toolkit for supporting young minds
Mental Health Awareness - a toolkit for supporting young mindsPooky Knightsmith
 

Recently uploaded (20)

4.11.24 Poverty and Inequality in America.pptx
4.11.24 Poverty and Inequality in America.pptx4.11.24 Poverty and Inequality in America.pptx
4.11.24 Poverty and Inequality in America.pptx
 
Unraveling Hypertext_ Analyzing Postmodern Elements in Literature.pptx
Unraveling Hypertext_ Analyzing  Postmodern Elements in  Literature.pptxUnraveling Hypertext_ Analyzing  Postmodern Elements in  Literature.pptx
Unraveling Hypertext_ Analyzing Postmodern Elements in Literature.pptx
 
week 1 cookery 8 fourth - quarter .pptx
week 1 cookery 8  fourth  -  quarter .pptxweek 1 cookery 8  fourth  -  quarter .pptx
week 1 cookery 8 fourth - quarter .pptx
 
Q-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITWQ-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITW
 
ROLES IN A STAGE PRODUCTION in arts.pptx
ROLES IN A STAGE PRODUCTION in arts.pptxROLES IN A STAGE PRODUCTION in arts.pptx
ROLES IN A STAGE PRODUCTION in arts.pptx
 
Mythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITWMythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITW
 
Student Profile Sample - We help schools to connect the data they have, with ...
Student Profile Sample - We help schools to connect the data they have, with ...Student Profile Sample - We help schools to connect the data they have, with ...
Student Profile Sample - We help schools to connect the data they have, with ...
 
Mattingly "AI & Prompt Design: Large Language Models"
Mattingly "AI & Prompt Design: Large Language Models"Mattingly "AI & Prompt Design: Large Language Models"
Mattingly "AI & Prompt Design: Large Language Models"
 
ICS2208 Lecture6 Notes for SL spaces.pdf
ICS2208 Lecture6 Notes for SL spaces.pdfICS2208 Lecture6 Notes for SL spaces.pdf
ICS2208 Lecture6 Notes for SL spaces.pdf
 
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdfGrade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
 
ESP 4-EDITED.pdfmmcncncncmcmmnmnmncnmncmnnjvnnv
ESP 4-EDITED.pdfmmcncncncmcmmnmnmncnmncmnnjvnnvESP 4-EDITED.pdfmmcncncncmcmmnmnmncnmncmnnjvnnv
ESP 4-EDITED.pdfmmcncncncmcmmnmnmncnmncmnnjvnnv
 
MS4 level being good citizen -imperative- (1) (1).pdf
MS4 level   being good citizen -imperative- (1) (1).pdfMS4 level   being good citizen -imperative- (1) (1).pdf
MS4 level being good citizen -imperative- (1) (1).pdf
 
Textual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHSTextual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHS
 
How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17
 
Narcotic and Non Narcotic Analgesic..pdf
Narcotic and Non Narcotic Analgesic..pdfNarcotic and Non Narcotic Analgesic..pdf
Narcotic and Non Narcotic Analgesic..pdf
 
ClimART Action | eTwinning Project
ClimART Action    |    eTwinning ProjectClimART Action    |    eTwinning Project
ClimART Action | eTwinning Project
 
Congestive Cardiac Failure..presentation
Congestive Cardiac Failure..presentationCongestive Cardiac Failure..presentation
Congestive Cardiac Failure..presentation
 
Man or Manufactured_ Redefining Humanity Through Biopunk Narratives.pptx
Man or Manufactured_ Redefining Humanity Through Biopunk Narratives.pptxMan or Manufactured_ Redefining Humanity Through Biopunk Narratives.pptx
Man or Manufactured_ Redefining Humanity Through Biopunk Narratives.pptx
 
Scientific Writing :Research Discourse
Scientific  Writing :Research  DiscourseScientific  Writing :Research  Discourse
Scientific Writing :Research Discourse
 
Mental Health Awareness - a toolkit for supporting young minds
Mental Health Awareness - a toolkit for supporting young mindsMental Health Awareness - a toolkit for supporting young minds
Mental Health Awareness - a toolkit for supporting young minds
 

Ch01 scalars and vectors

  • 1. Introduction and Mathematical Concepts Chapter 1
  • 2. 1.5 Scalars and Vectors A scalar quantity is one that can be described by a single number: temperature, speed, mass A vector quantity deals inherently with both magnitude and direction: velocity, force, displacement
  • 3. 1.5 Scalars and Vectors By convention, the length of a vector arrow is proportional to the magnitude of the vector. 8 lb 4 lb Arrows are used to represent vectors. The direction of the arrow gives the direction of the vector.
  • 4. 1.5 Scalars and Vectors
  • 5. 1.6 Vector Addition and Subtraction Often it is necessary to add one vector to another.
  • 6. 1.6 Vector Addition and Subtraction 5 m 3 m 8 m
  • 7. 1.6 Vector Addition and Subtraction
  • 8. 1.6 Vector Addition and Subtraction 2.00 m 6.00 m
  • 9. 1.6 Vector Addition and Subtraction 2.00 m 6.00 m R
  • 10. 1.6 Vector Addition and Subtraction 2.00 m 6.00 m 6.32 m
  • 11. 1.6 Vector Addition and Subtraction When a vector is multiplied by -1, the magnitude of the vector remains the same, but the direction of the vector is reversed.
  • 12. 1.6 Vector Addition and Subtraction
  • 13. 1.7 The Components of a Vector
  • 14. 1.7 The Components of a Vector
  • 15. 1.7 The Components of a Vector It is often easier to work with the scalar components rather than the vector components.
  • 16. 1.7 The Components of a Vector Example A displacement vector has a magnitude of 175 m and points at an angle of 50.0 degrees relative to the x axis. Find the x and y components of this vector.
  • 17. 1.8 Addition of Vectors by Means of Components
  • 18. 1.8 Addition of Vectors by Means of Components