2. Vectors in Multiple Dimensions
2. Vectors in Multiple Dimensions
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For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu. Fundamentals of Physics (PHYS 200) In this lecture, Professor Shankar discusses motion in more than one dimension. Vectors are introduced and discussed in multiple dimensions. Vector magnitude and direction are also explained. Null vectors, minus vectors, unit and velocity vectors are discussed along with their properties. Finally, several specific problems are solved to demonstrate how vectors can be added, and problems of projectile motion are expounded. 00:00 - Chapter 1. Review of Motion at Constant Acceleration 04:45 - Chapter 2. Vector Motion 2D Space: Properties 22:57 - Chapter 3. Choice of Basis Axis and Vector Transformation 38:20 - Chapter 4. Velocity Vectors: Derivatives of Displacement Vectors 43:40 - Chapter 5. Derivatives of Vectors: Application to Circular Motion 54:00 - Chapter 6.