HLRGAATPreISM_35799X_14_appC

HLRGAATPreISM_35799X_14_appC - Appendix C: Vectors in Space...

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Appendix C: Vectors in Space 1. The plane determined by the x -axis and the z -axis is called the xz -plane. 2. A position vector has its initial point at the origin. 3. The component form of the position vector with terminal point is . 4. The form of the position vector with terminal point is . 5. 6. 7. 8. 9. 10. 11. ; 12. ; 13. ; 14. ; 15. ; 16. ; 17. ; is the opposite of . That is . 18. The distance between points P and Q and the magnitude of are the same number. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. u ? u 5 1 2 21 2 2 1 1 4 21 4 2 1 1 7 21 7 2 5 69 v ? v 5 1 ] 3 21 ] 3 2 1 1 5 21 5 2 1 1 2 21 2 2 5 38 u ? w 5 1 2 21 4 2 1 1 4 21 ] 3 2 1 1 7 21 ] 6 2 5] 46 v ? w 5 1 ] 3 21 4 2 1 1 5 21 ] 3 2 1 1 2 21 ] 6 2 5] 39 1 0 2 v 0 5 2 1 ] 6 2 2 1 10 2 1 4 2 5 2 152 5 2 2 38 2 v 5 2 1 ] 3 2 i 1 2 1 5 2 j 1 2 1 2 2 k 5] 6 i 1 10 j 1 4 k 1 0 w 1 u 0 5 2 6 2 1 1 2 1 1 2 5 2 38 w 1 u 5 1 4 1 2 2 i 1 11 ] 3 2 1 4 2 j 1 11 ] 6 2 1 7 2 k 5 6 i 1 j 1 k 0 w 0 5 2 4 2 1 1 ] 3 2 2 1 1 ] 6 2 2 5 2 61 0 u 0 5 2 2 2 1 4 2 1 7 2 5 2 69 ] v 1 3 u 5 3 ] 1 1 ] 3 2 1 3 1 2 24 i 1 3 ] 1 1 5 2 1 3 1 4 24 j 1 3 ] 1 1 2 2 1 3 1 7 24 k 5 9 i 1 7 j 1 19 k 4 u 1 5 v 5 3 4 1 2 2 1 5 1 ] 3 24 i 1 3 4 1 4 2 1 5 1 5 24 j 1 3 4 1 7 2 1 5 1 2 24 k 5] 7 i 1 41 j 1 38 k v 1 w 5 1 ] 3 1 4 2 i 1 1 5 1 1 ] 3 22 j 1 1 2 1 1 ] 6 22 k 5 i 1 2 j 2 4 k u 2 w 5 1 2 2 4 2 i 1 1 4 2 1 ] 3 22 j 1 1 7 2 1 ] 6 22
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This note was uploaded on 09/24/2011 for the course MATH 1310 taught by Professor Marks during the Spring '08 term at University of Houston.

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HLRGAATPreISM_35799X_14_appC - Appendix C: Vectors in Space...

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