IB math presentation

1. Vectors Math Presentation By Marius and Samuel

2. Overview Vectors in 2-dimensions Vectors Operation with Vectors Vectors in Component Form Vector Equations Vectors in coordinate Geometry Parallelism Unit Vectors Angles and Scalar Products Vectors in 3-dimensions 3-dimensional coordinates 3-dimensional Vectors Algebraic operations with 3-D Vectors Parallelism Unit Vectors Collinear points and ratio of division – Extension The scalar product of 3-D Vectors Lines in the plane and in space Vector and parametric form of a line in 2-dimensional Geometry The velocity vector of a moving object Constant velocity Problems The closest distance Geometric application of r = a + tb Lines in Space Line classification

3. Vectors in 2-dimensions (2D)

4. Vectors Quantities which have only magnitude are called scalars. Quantities which have both size (magnitude) and direction are called vectors. Magnitude can be expressed as: Acceleration Force Displacement Momentum

5. Simple representation of a Vector

6. VectorEqualityandNegativeVectors Twovectors are equaliftheyhavethesamemagnitude AND direction.

7. Question

8. VectorAddition

9. VectorSubtraction

10. Question

11. ScalarMultiplication

12. Vectors in CompositeForm

13. VectorsAddition

14. VectorsSubtraction

15. ScalarMultiplicationandDivision

16. Question

17. Lenghtor Magnitude of a Vector

18. Componentformof a Vector

19. Question

20. ScalarProducts

21. VectorsAngle

22. Question

24. Both in IB Formula Booklet!!

25. In IB Formula Booklet!!

31. In IB Booklet

32. In IB Booklet Booklet also shows the formula isolating for

33. In IB Booklet

39. Geometric Application of r=a+tb

40. Solution

41. Lines in Space

42. LineClassification

43. LastQuestion!

44. Humour time! The vector was walking down cartesian drive when he bumped into a confused Scalar.The vector asked him what was wrong and he replied, "Help I have no direction.“ HAHAHAHAHAHAHAHAHAHAHAHAHAHAHA