This precalculus video tutorial explains the basics of vectors. It contains plenty of examples and practice problems of vector operations such as addition, subtraction and scalar multiplication as well as finding the magnitude and direction angle of the resultant force vector. This video is useful for high school and college students taking vectors in precalculus, calculus, physics, or trigonometry.

Here is a list of topics:

1. Basic Introduction into Vectors

2. Scalar vs Vector Quantity

3. Scalar Quantities – Mass, Temperature, and Speed

4. Vector Quantities – Velocity, Acceleration, and Force

5. Writing a Vector In Component Form Given Initial and Terminal Point

6. Directed Line Segments and Vectors

7. Scalar Multiplication of Vectors

8. How To Find The Magnitude of a Vector – Absolute Value or Hypotenuse of Right Triangle

9. Using Right Triangle Trigonometry to Describe Vectors

10. Magnitude and Direction Angle of Resultant Vector

11. I and J Unit Vectors

12. Unit Vector Formula –

13. Horizontal and Vertical Components

14. Representing Vectors in Rectangular Coordinates and Finding Its Magnitude

15. Vectors In a Rectangular Coordinate System

16. Operations With Vectors in Terms of i and j

17. Adding and Subtracting Vectors

18. Writing a Vector in terms of i and j given magnitude and angle

19. Finding The Direction Angle From The Positive X Axis

20. Adding Vectors Graphically – Head to Tail Method

21. Subtracting Vectors – Graphical Method

22. Vector Notation – 3d – with 3 components

23. How to find the unit vector that has the same direction as the vector v.

24. Position Vector – initial and terminal point

25. Vector Maths – Basic Operations in two dimensions