1. Lecture 3 0f 8
Topic 5: VECTORS
5.3 Scalar Product

2. Learning Outcomes
define the scalar product ( dot product) in the form of
(b) find the angle between two vectors
(c) understand the properties of scalar product, parallel and perpendicular vectors.

3. The Scalar Product (Dot Product)

4. The Angle Between Two Vectors

5. Example 1

6. Solution

8. Algebraic Properties of the Scalar Product

10. NOTE : O B A
1800 O B A

11. O O

12. Example 2
Solution

13. Example 3
Determine which pair of the vectors are parallel :

14. Solution

17. Example 4
Solution

19. Squaring both sides and then simplify the equation :

20. The Scalar Product (Or Dot Product)
CONCLUSION
The Scalar Product (Or Dot Product)

21. Algebraic Properties of the Scalar Product