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Vector Operations in Jeopardy! Classroom Game

Engage students in vector problems with this interactive Jeopardy! game. Test skills in dot products, unit vectors, and angles.

quemby-warner
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Vector Operations in Jeopardy! Classroom Game

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  1. Jeopardy!for the Classroom

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

  3. v v - w -w

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

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

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

  7. What is √41?

  8. The unit vector having the same direction asv = 12i - 5j

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

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

  11. What is 2√5?

  12. Given v = 2i + 2jand w = i + 2j, find the dot product.

  13. What is 6?

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

  15. What is parallel?

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

  17. What is 36.87°?

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

  19. What is parallel?

  20. Given v = i – kand w = 2j + 3k, find v·w.

  21. What is -3?

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

  23. What is √65?

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

  25. What is 7i – 2j + 4k?

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

  27. What is √105?

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

  29. What isv = 3/7i – 6/7j – 2/7k?

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

  31. What is105.5°?

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

  33. What is 0?

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

  35. What is -3i – 2j + 6k?

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

  37. What is 3i + 2j – 6k?

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

  39. What is -19?

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

  41. What is – 5j + 5k?

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

  43. What is -3i + 3√3j?

  44. The dot product of two orthogonal vectors

  45. What is 0?

  46. Daily Double

  47. A vector whose magnitude is zero

  48. What is a zero vector?

  49. The result of a cross product

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