Vectors and Scalars Scalars are quantities which have

  • Slides: 22
Download presentation
Vectors and Scalars • Scalars are quantities which have magnitude only • Vectors have

Vectors and Scalars • Scalars are quantities which have magnitude only • Vectors have both magnitude and direction • To identify a vector fully you must give both its magnitude and its direction

Scalars • • distance mass temperature speed Time charge volume Vectors • • •

Scalars • • distance mass temperature speed Time charge volume Vectors • • • displacement force velocity acceleration magnetic field strength • weight

40 N

40 N

30 N

30 N

30 N 40 N

30 N 40 N

30 N 50 N 40 N

30 N 50 N 40 N

20 N

20 N

20 N

20 N

Adding Vectors • • Draw the vectors to scale. Place the vectors nose to

Adding Vectors • • Draw the vectors to scale. Place the vectors nose to tail. Draw a line in to complete the triangle. The length of the new line is the sum of the vectors. • It is also possible to add vector quantities algebraically. We will do this in easy cases.

The vector parallelogram

The vector parallelogram

Adding Vectors • Because of the parallelogram rule it doesn’t really matter if the

Adding Vectors • Because of the parallelogram rule it doesn’t really matter if the tails of the vectors are put together. You will still get the same diagonal. • This is often more convenient. (Mathematicians call it using based vectors)

The vector parallelogram

The vector parallelogram

Using Mathematics • You will be expected to be able to add two vectors

Using Mathematics • You will be expected to be able to add two vectors which are at right angles using the Pythagoras theorem.

Example A rowing boat is rowed 12 metres across a fast stream towards a

Example A rowing boat is rowed 12 metres across a fast stream towards a point on the bank directly opposite. The current carries the boat 8 metres at right angles to this. What is the total distance travelled by the boat 8 m 12 m

Example A rowing boat is rowed 12 metres across a fast stream towards a

Example A rowing boat is rowed 12 metres across a fast stream towards a point on the bank directly opposite. The current carries the boat 8 metres at right angles to this. What is the total distance travelled by the boat 8 m 12 m

Example A rowing boat is rowed 12 metres across a fast stream towards a

Example A rowing boat is rowed 12 metres across a fast stream towards a point on the bank directly opposite. The current carries the boat 8 metres at right angles to this. What is the total distance travelled by the boat 8 m 12 m

A rowing boat is rowed 12 metres across a fast stream towards a point

A rowing boat is rowed 12 metres across a fast stream towards a point on the bank directly opposite. The current carries the boat 8 metres at right angles to this. What is the total distance travelled by the boat 8 m 12 m

Kinematics 1 Scalars and Vectors Scalars Quantities IncludeKinematics 1 Scalars and Vectors Scalars Quantities Include
SCALARS AND VECTORS SCALARS AND VECTORS Scalar isSCALARS AND VECTORS SCALARS AND VECTORS Scalar is
Describing Motion Scalars v Vectors Vectors V ScalarsDescribing Motion Scalars v Vectors Vectors V Scalars
COMPAIRING QUANTITIES COMPAIRING QUANTITIES COMPAIRING QUANTITIES COMPAIRING QUANTITIESCOMPAIRING QUANTITIES COMPAIRING QUANTITIES COMPAIRING QUANTITIES COMPAIRING QUANTITIES
Vectors Scalars Vectors are measurements which have bothVectors Scalars Vectors are measurements which have both
INTRODUCTION TO VECTORS Scalars and Vectors VECTORS VSINTRODUCTION TO VECTORS Scalars and Vectors VECTORS VS
Vectors Questions Vectors vs Scalars Vectors Graphical additionVectors Questions Vectors vs Scalars Vectors Graphical addition
Vectors Scalars Vectors Vectors Quantity with both magnitudeVectors Scalars Vectors Vectors Quantity with both magnitude
Chapter 3 Vectors Vectors Vector quantities Physical quantitiesChapter 3 Vectors Vectors Vector quantities Physical quantities
Vectors and Scalars Scalars have magnitude only eVectors and Scalars Scalars have magnitude only e
Vectors and Scalars Scalars have magnitude only eVectors and Scalars Scalars have magnitude only e
SCALARS AND VECTORS Scalars have MAGNITUDE ONLY EgSCALARS AND VECTORS Scalars have MAGNITUDE ONLY Eg
Chapter 3 Vectors Vectors Vectors physical quantities havingChapter 3 Vectors Vectors Vectors physical quantities having
Chapter 3 Vectors Vectors Vectors physical quantities havingChapter 3 Vectors Vectors Vectors physical quantities having
Vectors Vectors and Scalars Vector Quantity which requiresVectors Vectors and Scalars Vector Quantity which requires
Vectors Vectors and Scalars Vector Quantity which requiresVectors Vectors and Scalars Vector Quantity which requires
Vectors Vectors and Scalars Vector Quantity which requiresVectors Vectors and Scalars Vector Quantity which requires
Scalars vs Vectors Scalar quantities have only aScalars vs Vectors Scalar quantities have only a
Vectors Vectors Vectors Vectors Distance Velocity Acceleration XVectors Vectors Vectors Vectors Distance Velocity Acceleration X
VECTORS VECTORS PROPERTIES OF VECTORS VECTORS Some importantVECTORS VECTORS PROPERTIES OF VECTORS VECTORS Some important
Chapter 1 3 Vectors and Scalars Scalars andChapter 1 3 Vectors and Scalars Scalars and