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Exploring Polar and Rectangular Coordinates in 2D and 3D Vector Graphing

Dive into the world of polar and rectangular coordinates with our comprehensive Jeopardy-style quiz focused on graphing 2D and 3D vectors. Explore questions ranging from plotting points in polar graphs to calculating distances and vectors. Test your understanding with varying difficulty levels across topics, including finding magnitudes, unit vectors, dot products, and graphing vector equations. Perfect for students and math enthusiasts looking to reinforce their skills in vector mathematics and coordinate transformations.

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Exploring Polar and Rectangular Coordinates in 2D and 3D Vector Graphing

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  1. Jeopardy Polar vs. Rectangular Polar Graphing 3D Vectors 2D Vectors Vector Graphing Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

  2. $100 Question – Polar Graphs Plot the following point:

  3. $100 Answer – Polar Graphs Review Answer on Board

  4. $200 Question – Polar Graphs Plot the following point:

  5. $200 Answer – Polar Graphs Review Answer on Board

  6. $300 Question – Polar Graphs

  7. $300 Answer – Polar Graphs Review Answer on Board

  8. $400 Question – Polar Graphs

  9. $400 Answer – Polar Graphs Review Answer on Board

  10. $500 Question – Polar Graphs

  11. $500 Answer – Polar Graphs Review Answer on Board

  12. $100 Question – Polar vs. Rectangular

  13. $100 Answer – Polar vs. Rectangular

  14. $200 Question – Polar vs. Rectangular

  15. $200 Answer – Polar vs. Rectangular

  16. $300 Question – Polar vs. Rectangular

  17. $300 Answer – Polar vs. Rectangular

  18. $400 Question – Polar vs. Rectangular Write the following equation Using polar coordinates: 4xy = 10

  19. $400 Answer – Polar vs. Rectangular

  20. $500 Question – Polar vs. Rectangular

  21. $500 Answer – Polar vs. Rectangular

  22. $100 Question – 3D Vectors Find the distance between the Following points: (5, 2, 3) and (4, 1, 1)

  23. $100 Answer – 3D Vectors

  24. $200 Question – 3D Vectors Find the position vector with Initial point (2,1,3) and Terminal point (-1,-3,5)

  25. $200 Answer – 3D Vectors

  26. $300 Question – 3D Vectors Find the magnitude of the Following vector: v = 3i + 4j – k

  27. $300 Answer – 3D Vectors

  28. $400 Question – 3D Vectors Find the unit vector of v: v = 2i -3j + k

  29. $400 Answer – 3D Vectors

  30. $500 Question – 3D Vectors Find the dot product of v and w when: v = 3i + j - 2k w = i – 2j – 3k

  31. $500 Answer – 3D Vectors 7

  32. $100 Question – 2D Vectors Find the position vector with Initial point (3, -2) and terminal Point (2, -3)

  33. $100 Answer – 2D Vectors

  34. $200 Question – 2D Vectors What is the magnitude of v if: v = 3i + j

  35. $200 Answer – 2D Vectors

  36. $300 Question – 2D Vectors Find the unit vector of v if: v = -3i + 6k

  37. $300 Answer – 2D Vectors

  38. $400 Question – 2D Vectors Find II v + w II (magnitude) If: v = 3i – j w = -2i + 3j

  39. $400 Answer – 2D Vectors

  40. $500 Question – 2D Vectors Find the angle between v and w if.: v = 2i – 4j w = 4i + 3j

  41. $500 Answer – 2D Vectors

  42. $100 Question – Vector Graphing If v = i + j, graph –v.

  43. $100 Answer – Vector Graphing Review Answer on Board

  44. $200 Question – Vector Graphing If v = 2i + 3j and w = 4i – 2j Graph v + w

  45. $200 Answer – Vector Graphing Review Answer on Board

  46. $300 Question – Vector Graphing If v = i – j and w = 2i + 2j Graph v - w

  47. $300 Answer – Vector Graphing Review Answer on Board

  48. $400 Question – Vector Graphing Graph w + v if: v = 3i – j w = 2i + 5j

  49. $400 Answer – Vector Graphing Review Answer on Board

  50. $500 Question – Vector Graphing Graph v – w if: v = -i – j w = 2i + 5j

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