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
Vectors is a free educational video by The Organic Chemistry Tutor.It helps students in grades HS practice the following standards HSN.VM.A.1.
1. HSN.VM.A.1 : Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).
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