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# Math presentation sam+marius 2

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### Math presentation sam+marius 2

1. 1. Vectors<br />Math Presentation<br />By Marius and Samuel<br />
2. 2. Overview<br />Vectors in 2-dimensions<br />Vectors<br />Operation with Vectors<br />Vectors in Component Form<br />Vector Equations<br />Vectors in coordinate Geometry<br />Parallelism<br />Unit Vectors<br />Angles and Scalar Products<br />Vectors in 3-dimensions<br />3-dimensional coordinates<br />3-dimensional Vectors<br />Algebraic operations with 3-D Vectors<br />Parallelism<br />Unit Vectors<br />Collinear points and ratio of division – Extension<br />The scalar product of 3-D Vectors <br />Lines in the plane and in space<br />Vector and parametric form of a line in 2-dimensional Geometry<br />The velocity vector of a moving object<br />Constant velocity Problems<br />The closest distance<br />Geometric application of r = a + tb<br />Lines in Space<br />Line classification<br />
3. 3. Vectors in 2-dimensions (2D)<br />
4. 4. Vectors<br />Quantities which have only magnitude are called scalars.<br />Quantities which have both size (magnitude) and direction are called vectors.<br />Magnitude can be expressed as:<br />Acceleration<br />Force<br />Displacement<br />Momentum<br />
5. 5. Simple representation of a Vector<br />
6. 6. VectorEqualityandNegativeVectors<br />Twovectors are equaliftheyhavethesamemagnitude AND direction.<br />
7. 7. Question<br />
9. 9. VectorSubtraction<br />
10. 10. Question<br />
11. 11. ScalarMultiplication<br />
12. 12. Vectors in CompositeForm<br />
15. 15. ScalarMultiplicationandDivision<br />
16. 16. Question<br />
17. 17. Lenghtor Magnitude of a Vector<br />
18. 18. Componentformof a Vector<br />
19. 19. Question<br />
20. 20. ScalarProducts<br />
21. 21. VectorsAngle<br />
22. 22. Question<br />
23. 23.
24. 24. Both in IB Formula Booklet!!<br />
25. 25. In IB Formula Booklet!!<br />
26. 26.
27. 27.
28. 28.
29. 29.
30. 30.
31. 31. In IB Booklet<br />
32. 32. In IB Booklet<br />Booklet also shows the formula isolating for<br />
33. 33. In IB Booklet<br />
34. 34.
35. 35.
36. 36.
37. 37.
38. 38.
39. 39. Geometric Application of r=a+tb<br />
40. 40. Solution<br />
41. 41. Lines in Space<br />
42. 42. LineClassification<br />
43. 43. LastQuestion!<br />
44. 44. Humour time!<br /> 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.“<br /> HAHAHAHAHAHAHAHAHAHAHAHAHAHAHA<br />