1. Math 150 7.4/7.5 – Vectors 1

2. Suppose a car is heading NE (northeast) at 60 mph. We can use a vector to help draw a picture (see right). 2

3. Suppose a car is heading NE (northeast) at 60 mph. We can use a vector to help draw a picture (see right). 3

4. A vector consists of two parts: 1. a magnitude (ex: 60 mph) 2.a direction (ex: NE) By contrast, a scalar only has a magnitude (ex: 60 mph). 4

5. A vector consists of two parts: 1. a magnitude (ex: 60 mph) 2.a direction (ex: NE) By contrast, a scalar only has a magnitude (ex: 60 mph). 5

6. Examples of vectors include: displacement, velocity, acceleration, and force. Examples of scalars include: distance, speed, time, and volume. 6

7. Examples of vectors include: displacement, velocity, acceleration, and force. Examples of scalars include: distance, speed, time, and volume. 7

8. A vector has an initial point and a terminal point. The magnitude is the length of the vector. 8

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10. Two vectors are equal if they have the same magnitude and direction. So, all of the vectors to the right are equal. 10

11. To add two vectors visually, put them tip to tail and make a triangle. 11

12. Or put them tail to tail and make a parallelogram. 12

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14. You can stretch and shrink vectors by multiplying by a scalar. Negative values make the vector go in the opposite direction. 14

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24. 24 unit vectors

25. 25 unit vectors

26. 26 unit vectors

27. 27 unit vectors

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32. It is often useful to break a vector into its horizontal and vertical components. 32

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35. 35 Dot Product

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44. 44 perpendicular

45. 45 perpendicular

46. 46 perpendicular

47. 47 perpendicular

48. Another word for perpendicular is __________. 48

49. Another word for perpendicular is __________. 49 orthogonal

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51. 51 Applications of Vectors

52. 52 Applications of Vectors

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