Vectors<br />Math Presentation<br />By Marius and Samuel<br />
Overview<br />Vectors in 2-dimensions<br />Vectors<br />Operation with Vectors<br />Vectors in Component Form<br />Vector ...
Vectors in 2-dimensions (2D)<br />
Vectors<br />Quantities which have only magnitude are called scalars.<br />Quantities which have both size (magnitude) and...
Simple representation of a Vector<br />
VectorEqualityandNegativeVectors<br />Twovectors are equaliftheyhavethesamemagnitude AND direction.<br />
Question<br />
VectorAddition<br />
VectorSubtraction<br />
Question<br />
ScalarMultiplication<br />
Vectors in CompositeForm<br />
VectorsAddition<br />
VectorsSubtraction<br />
ScalarMultiplicationandDivision<br />
Question<br />
Lenghtor Magnitude of a Vector<br />
Componentformof a Vector<br />
Question<br />
ScalarProducts<br />
VectorsAngle<br />
Question<br />
Both in IB Formula Booklet!!<br />
In IB Formula Booklet!!<br />
In IB Booklet<br />
In IB Booklet<br />Booklet also shows the formula isolating for<br />
In IB Booklet<br />
Geometric Application of r=a+tb<br />
Solution<br />
Lines in Space<br />
LineClassification<br />
LastQuestion!<br />
Humour time!<br />	The vector was walking down cartesian drive when he bumped into a confused Scalar.The vector asked him ...
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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 />
  8. 8. VectorAddition<br />
  9. 9. VectorSubtraction<br />
  10. 10. Question<br />
  11. 11. ScalarMultiplication<br />
  12. 12. Vectors in CompositeForm<br />
  13. 13. VectorsAddition<br />
  14. 14. VectorsSubtraction<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 />
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