1. Vectors

2. Vectors
A vector is a symbol that indicates both magnitude and direction. A vector quantity is one that is directional.
Examples:
Displacement
Velocity
Acceleration
Force
Notation: We will represent vector quantities like this:
A scalar quantity only has magnitude, and does not depend on the direction.
Examples:
Distance
Speed
Temperature
Notation: scalar quantities do not have an arrow above them. or

3. Vector addition and subtraction
Example: displacement is a vector which represents the distance and direction between two points.
Two vector quantities are added by placing the tail of the second vector at the head of the first vector.
The negative of a vector has the same magnitude but points in the opposite direction.

4. Examples:
Draw the vectors

5. Examples:
Draw the vector

6. Adding and subtracting vectors
Addition is commutative and associative:

7. Components
A vector component is the projection of that vector on an axis.
Recall: right triangles: q

8. Examples of components
Find the x and y components of the given vectors

9. Adding vectors by components

10. Unit vectors
We need some way to indicate the direction of a vector, independently of its magnitude.
Define:
are commonly used to denote unit vectors in the x,y and z directions, respectively