Notes: Vectors

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

Notes: Vectors

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