1. Jeopardy! for the Classroom

2. C & V Vectors The Dot Product The Cross Product Mixed Bag 100 200 300
Vectors in Space
The Cross Product
Mixed Bag
C & V
100
200
300
400
500

3. Given v and w , graph v-w.

4. v
v - w -w

5. The vector whose initial point is (-3,2) and terminal point is (-6,5)

6. What is v = -3i + 3j?

7. ||v|| given v = -4i + 5j

8. What is √41?

9. The unit vector having the same direction as v = 12i - 5j

10. What is v = <12/13, -5/13> ?

11. Given v = 2i – j and w = i – j, find 2||v – 3w||.

12. What is 2√5?

13. Given v = 2i + 2j and w = i + 2j, find the dot product.

14. What is 6?

15. Given v·w = - 12, ||v|| = 2, and ||w|| = 6, v and w are parallel, orthogonal, or neither.

16. What is parallel?

17. Given v = 2i + j and w = i + 2j, find the angle between v and w.

18. What is 36.87°?

19. Given -3v = w, v and w are parallel, orthogonal, or neither.

20. What is parallel?

21. Given v = i – k and w = 2j + 3k, find v·w.

22. What is -3?

23. The exact distance between (-2, 2, 3) and (4, 0, -2)

24. What is √65?

25. The vector whose initial point is (-1, 4, -2) and terminal point is (6, 2, 2)

26. What is 7i – 2j + 4k?

27. Given v = -2i + 3j - 2k and w = 3i – 5j + 2k, find ||v – w||.

28. What is √105?

29. The unit vector having the same direction as v = 3i – 6j – 2k

30. What is v = 3/7i – 6/7j – 2/7k?

31. Given v = - i + 3j + 2k and, find the direction angle α.

32. What is 105.5°?

33. Given v = -4i + 3j – 5k, find v x v.

34. What is 0?

35. Given v = 2i - 3j and w = 3j + k, find v x w.

36. What is -3i – 2j + 6k?

37. Given v = 2i - 3j and w = 3j + k, find w x v.

38. What is 3i + 2j – 6k?

39. Given u = 2i – 3j + k, v = -3i + 3j + 2k, and w = i + j + k, find u·(v x w).

40. What is -19?

41. The vector that is orthogonal to v = 2i – j – k and w = i + 2j +2k

42. What is – 5j + 5k?

43. The position vector form of a vector with a magnitude of 6 and direction of 120°

44. What is -3i + 3√3j?

45. The dot product of two orthogonal vectors

46. What is 0?

47. Daily Double

48. A vector whose magnitude is zero

49. What is a zero vector?

50. The result of a cross product

51. What is a vector?

52. Given v = - i + 3j +2k and w = i – j + k, find the angle between v and w.

53. What °?

54. A quantity with magnitude and direction

55. What is a vector?

56. A vector with a magnitude of one

57. What is a unit vector?

58. A vector whose initial point is at the origin

59. What is a position vector?

60. Two vectors with an angle of 90° between them

61. What is orthogonal?

62. The result of a dot product

63. What is a scalar?

64. Final Jeopardy!

65. Airplanes!

66. An airplane has an airspeed of 500 kph going due north
An airplane has an airspeed of 500 kph going due north. The wind velocity is a constant 70 kph from the east. Find the actual speed and direction of the plane relative to the ground.

67. What is kph at N7.97°W?