1. Specialist Mathematics Vectors and Geometry Week 3

2. Example 13 (Ex 4F) 8cm 3cm 2cm A B C

3. Solution 13 8cm 3cm 2cm B C A

4. Vector Product

5. Example 14 (Ex 4G1)

6. Solution 14

7. Direction of a x b

8. Length of a x b

9. Properties of a x b a x b is a vector perpendicular to both a and b. a x a = 0 a x b = - b x a a x (b + c) = a x b + a x c (a + b) x (c + d) = a x c + a x d + b x c + b x d

10. Scalar Triple Product

11. Example 15 (Ex 4G1)

12. Solution 15

13. Example 16 (Ex 4G1)

14. Solution 16

15. Example 17 (Ex 4G1)

16. Solution 17

17. Area of a Triangle

18. Area of a Parallelogram

19. Volume of a Parallelepiped

20. Volume of a Tetrahedron

21. Example 18 (Ex 4H)

22. Solution 18

23. Example 19 (Ex 4H)

24. Solution 19

25. Coplanar Points

26. Example 20 (Ex 4H)

27. Solution 20

28. This weeks work Text Pages 146 to 156. Exercise 4F Q 12 – 21 Exercise 4G1 Q 1 – 14 Exercise 4G2 Q 2 – 5 Exercise 4H Q 1 - 10