2. (a) Define vector product (b) Understand the properties of vector product (c)Find the area of parallelogram

3. Definition of The Vector Product (or Cross Product) then the vector product, denoted by is defined in terms of the expansion of the symbolic determinant as follows : If and

4. Geometrically, if where is the angle between is a unit vector in the direction perpendicular to the plane containing andand is defined as

5. To determine the direction of use the right-hand rule, where the fingers turn from to and the thumb points in the direction of

6. By referring to the above diagram, we note that

7. Example 1 Hence prove thatis perpendicular to the vector

8. Solution

9. From the previous lesson, we know that is perpendicular to

11. The properties of Vector Product

13. AB C D

14. Example 2 Solution

16. Example 3

17. Solution

20. Example 4

21. Solution

23. (b) A D CB ( the position vector of D)

24. A D CB

25. CONCLUSION 1. The Vector Product (Or Cross Product) 2. The Angle Between Two Vectors 3. The Area of a parallelogram if given 2 side vectors