Starting a new Lecture Notes Series on Calculus - Vector Calculus in 3-D
Youtube Lecture Playlist CreditsChannel Name: Michel van BiezenFaculty Name: Michel van Biezen Sir
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Calculus - Vector Calculus in 3-D
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Lecture 1: Vector Representation in 3-D
Lecture 2: Vector Between 2 Points
Lecture 3: What is a Unit Vector in 3-D?
Lecture 4: What Are Parametric Equations?
Lecture 5: Parametric Equations and Vectors
Lecture 6: Parametric Equations and Vectors: Example 1
Lecture 7: Parametric Equations and Vectors: Example 2
Lecture 8: How to Determine if the Lines are Parallel?
Lecture 9: How to Determine if the Lines Intersect,
Lecture 10: Dot Product in 3-D
Lecture 11: Dot Product in 3-D: Find thetha=?
Lecture 12: What are Directional Cosines?
Lecture 13: Find the Directional Cosines
Lecture 14: Find the Projection of a Vector onto a Vector
Lecture 15: Find the Component Othogonal to Vector B
Lecture 16: Find the Distance Between a Point and a Line
Lecture 17: Find the Distance Between a Point and a Line Ex.
Lecture 18: What is a Cross Product?
Lecture 19: How to Calculate the Cross Product of 2 Vectors?
Lecture 20: Calculating the Cross Product of 2 Vectors Ex.
Lecture 21: Magnitude of the Cross Product of 2 Vectors
Lecture 22: Theorems of Vector Products
Lecture 23: A Real World Example of a Dot Product
Lecture 24: A Real World Example of a Cross Product
Lecture 25: Area of a Parallelogram Using the Cross Product
Lecture 26: Area of a Triangle Using the Cross Product
Lecture 27: Area of a Triangle: Example
Lecture 28: Volume of a Rectangular Box
Lecture 29: Volume of a Parallelpiped
Lecture 30: Volume of a Parallelpiped: Example
Lecture 31: Do the 3 Vectors Lie on the Same Plane?
Lecture 32: Unit Normal Vector Perpendicular to Plane
Lecture 33: Volume of a Tetrahedron
Lecture 34: Volume of a Tetrahedron: Example