1. Chapter 3 Vectors in Physics Dr. Haykel Abdelhamid Elabidi 1 st /4 th week of October 2013/DhH 1434

2. Units of Chapter 3 Scalars versus vectors The components of a vector Adding and subtracting vectors Scalar product or dot product Vector product or cross product

3. Scalars versus Vectors A scalar is a number with units. It can be positive, negative or zero. Scalar quantities Masse Temperature Energy Power Speed Vector quantities Velocity Acceleration Displacement Force Field A vector is a mathematical quantity with both a magnitude and a direction Your home School? To describe where the shool is located versus your home, It is not sufficient to give the distance between them. we have to give the distance and the direction. School? 2 km

4. The components of a vector A vector in xy plane can be resolved in two components.

5. The components of a vector

6. Exersise 3-2 page 61: A vector is defined by its magnitude and direction, regardless of its location

7. The components of a vector

8. Adding and subtracting vectors Adding Vectors Using Components: 1. Find the components of each vector to be added. 2. Add the x- and y-components separately. 3. Find the resultant vector.

9. Adding and subtracting vectors Subtracting Vectors: The negative of a vector is a vector of the same magnitude pointing in the opposite direction. Here

10. Example: Adding and subtracting vectors

12. Multiplying vector by 3 increase its magnitude by a factor of 3, but does not change its direction. If it is multiplied by -3, its magnitude is increases by 3 but it will has the opposite direction. Multiplying vector by scalar

13. The result of the scalar product of two vectors and is a scalar: Scalar product or dot product

15. The result of the vector product of two vectors and is a vector that is perpendicular to the plan of the two vectors: Vector product or cross product

16. Thank you for your attention See you next time Inchallah