# Chapters covered in this topic

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### Chapter #1: Vectors - Lines

• Notes: Vectors

• 1. Vectors - Magnitude of a vector and a unit vector

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• Hands-On Practice 1 (HOP 1)

• 2. Vectors - HOP1 Q1

• 3. Vectors - Ratio and Mid-point theorems

• Hands-On Practice 2 (HOP 2)

• 4. Vectors - HOP2 Q1 - Ratio and Mid-point theorems

• 5. Vectors - HOP2 Q2 - Ratio and Mid-point theorems

• 6. Vectors - HOP2 Q3 - Ratio and Mid-point theorems

• 7. Vectors - Dot-product and length of projection

• 8. Vectors - Example 3

• Hands-On Practice 3 (HOP 3)

• 9. Vectors - HOP3 Q1(i),(ii),(iii),(iv) - Dot product

• 10. Vectors - HOP3 Q1(v),(vi),(vii) - Dot product

• 11. Vectors - Vector vs direction vs point

• 12. Vectors - Example 4

• 13. Vectors - HOP3 Q2

• 14. Directional Cosine

• Hands-On Practice 4 (HOP 4)

• 15.Vectors - HOP4 - Directional Cosines

• 16. Vectors - Cross-product

• Hands-On Practice 5 (HOP 5)

• 17. Vectors - HOP5 Q1(a),(b) - Cross product

• 18. Vectors - HOP5 Q1(c),(d),(e) - Cross product

• 19. Vectors - HOP5 Q2(a) - Cross product

• 20. Vectors - HOP5 Q2(b) - Cross product

• 21. Vectors - Equation of a line

• Hands-On Practice 6 (HOP 6)

• 22. Vectors - HOP6 Q1(a) - Equation of a line

• 23. Vectors - HOP6 Q1(b) - Equation of a line

• 24. Vectors - HOP6 Q1(c) - Equation of a line

• 25. Vectors - HOP6 Q1(d) - Equation of a line

• 26. Vectors - Quick recap and example 8

• 27. Vectors - HOP6 Q2 - Equation of a line

• 28. Vectors - HOP6 Q3 - Equation of a line

• 29. Vectors - Foot of perpendicular from a point to a line

• Hands-On Practice 7 (HOP 7)

• 30. Vectors - HOP7 Q1 - Foot of perpendicular

• 31. Vectors - HOP7 Q2 - Foot of perpendicular

• 32. Vectors - Perpendicular distance from a point to a line

• Hands-On Practice 8 (HOP 8)

• 33. Vectors - HOP8 Q1 - Perpendicular distance

• 34. Vectors - HOP8 Q2 - Perpendicular distance

• 35. Vectors - Angle between two lines, relationships between lines

• Hands-On Practice 9 (HOP 9)

• 36. Vectors - HOP9 Q1

• 37. Vectors - HOP9 Q2

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### Chapter #2: Vectors - Planes

• Notes: Vectors

• 1. Vectors - Equation of a plane

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• Hands-On Practice 10 (HOP 10)

• 2. Vectors - HOP10 Q1(i)

• 3. Vectors - HOP10 Q1(ii)

• 4. Vectors - HOP10 Q1(iii)

• 5. Vectors - HOP10 Q1(iv)

• 6. Vectors - HOP10 Q1(v)

• 7. Vectors - HOP10 Q2(i)

• 8. Vectors - HOP10 Q2(ii)

• 9. Vectors - HOP10 Q2(iii)

• 10. Vectors - HOP10 Q2(iv)

• 11. Vectors - Distance from origin to plane and distance between parallel planes

• Hands-On Practice 11 (HOP 11)

• 12. Vectors - HOP11 Q1 - Distance between parallel planes

• 13. Vectors - HOP11 Q2 - Distance between parallel planes

• 14. Vectors - Angle between line and plane, relationships between line and plane

• 15. Vectors - HOP12 Q1 - Angle between line and plane

• 16. Vectors - HOP12 Q2 - Angle between line and plane

• 17. Vectors - Foot of perpendicular from a point to a plane

• Hands-On Practice 12 (HOP 12)

• 18. Vectors - HOP12 Q3 - Foot of perpendicular from point to plane

• 19. Vectors - HOP12 Q4(i) - Foot of perpendicular from point to plane

• 20. Vectors - HOP12 Q5 - Lengths of projection

• 21. Vectors - HOP12 Q6

• 22. Vectors - Angle between two planes, intersection of two planes

• Hands-On Practice 13 (HOP 13)

• 23. Vectors - HOP13 Q1 - Intersection of two planes

• 24. Vectors - HOP13 Q2 - Intersection of two planes

• 25. Vectors - Locus in vectors

• Hands-On Practice 14 (HOP 14)

• 26. Vectors - HOP14 Q1a - 2015 TPJC Prelim P1 Q9a - locus

• 27. Vectors - HOP14 Q1b - 2015 TPJC Prelim P1 Q9b

• 28. Vectors - HOP14 Q2 - 2015 NYJC Prelim P1 Q12 - locus

• 29. Vectors - HOP14 Q3a - 2015 HCI Prelim P2 Q1a - locus