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Vector
- Quantities with
- Direction
- Angle
- Can be larger than 90Ė
- Magnitude
- Always positive
- A minus sign tells us about its direction
- Direction
- Vectors have components not coordinates
Unit Vectors
- i hat
- component
- j hat
- component
Adding Vectors
- Resultant displacement vector () is the sum of the vectors
- A vector equation
- The resultant vector is not equal to the sum of the magnitudes of two separate vectors, it is smaller than their sum
- Adding vectors is commutative
Tail-to-Tip Method
- Draw on vector () to scale
- Draw second vector () to scale, placing its tail at the tip of the first vector
- Make sure its direction is correct!
- Draw an arrow from the tail of to the tip of
- This arrow represents the sum (resultant) of the two vectors
- The length of the resultant represents its magnitude