This presentation introduces the concept of vectors which includes equal and negative vectors.

1. Vectors in 2D Additional Mathematics

2. Quantities which have only magnitudes are called SCALAR QUANTITIES Area Distance Time

3. Will a ship sailing 8 km on a bearing of 075 get to the same place as one sailing 8 km on a bearing of 165? N 075° 165°

4. Will an aeroplane going at 750 km/h north get to the same place as one going at 750 km/h east? North 750 km/h East 750 km/h

5. Quantities which have both magnitudes & directions are called VECTOR QUANTITIES N North 750 km/h 075° East 165° 750 km/h

6. The displacement of the ship from P and Q is represented by directed line segment N Displacement: Magnitude: (Length of PQ) Q 8 km P

7. Column Vector & Its Magnitude The displacement from S to T can be achieved by moving 6 units to the right and 7 units up T 7 units u By Phytagoras’ theorem, the magnitude of the vector is given by v S 6 units

8. Column Vector & Its Magnitude Column Vector a v Magnitude u

9. Two vectors are equal if they have the same magnitude and the same direction r p D B q A C Which vectors are EQUAL?

10. On its return journey, the ship sails 8 km from Q to P on a bearing 255°. N N -a 075° Q Q 255° a P P