1. Two Dimensional Motion Unit 2.3
Vectors and Scalars
Two Dimensional Motion
Unit 2.3

2. Vectors and Scalars
Previously we discussed motion in 2 directions, forwards and backwards, in a straight line. Now we are going to cover motion not in a straight line.

3. Physical quantities can be categorized as a scalar or vector.
Vectors and Scalars
Physical quantities can be categorized as a scalar or vector.

4. Vectors and Scalars
A scalar is a quantity that can be completely specified by its magnitude with the appropriate units. Examples: speed km/hour volume mL

5. Vectors
A vector is a quantity that has direction and magnitude. Examples: Velocity – 20 m/s South Displacement – 335 km East

6. Vectors
Vectors are represented by symbols. Vectors can be written in italics [Y ] or in bold type [X]

7. Vectors
If handwritten, a vector can be symbolized by showing an arrow drawn above the symbol. Z

8. Vectors
One way to keep track of vectors and directions is to use diagrams.

9. Vectors
Vectors can be added graphically. When adding vectors, you must make sure that they have the same units and describe similar quantities.

10. Vectors
The addition of two or more vectors is called a resultant.

11. Vectors
Vectors can be added graphically using a triangle method of addition, in which the tail of 1 vector is placed at the head of the other.

12. Vectors
The resultant is the vector drawn from the tail of the first vector to the head of the last vector.

13. Vectors
The resultant displacement can be found using a ruler and protractor.

14. Vectors

15. Vector or Scalar? Acceleration of a plane at take off
Number of passengers on the plane
Duration of the flight
Displacement of the flight
Amount of fuel of required for the flight

16. Vector or Scalar?
Vector
Scalar

17. Properties of Vectors
Vectors can be moved parallel to themselves in a diagram. Vectors can be added in any order and the sum will remain the same as long as the magnitude and direction of each vector is the same.

18. Properties of Vectors
To subtract a vector , add its opposite. The negative of a vector is defined as a vector with the same magnitude as the original vector but in the opposite direction.

19. Properties of Vectors Example: -35m x 3 = -105m
Multiplying or dividing, vectors by scalars results in vectors.
This is because vectors indicate direction which could be + or -.
Example:
-35m x 3 = -105m