Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Find an Unknown in a Proportion 2
This video shows how to find an unknown quantity in a proportion in the context of a word problem. Practice problems are available. [5:48]
Virtual Nerd
Virtual Nerd: How Do You Solve a Proportion Using Cross Products?
Video tutorial demonstrates how to solve a percent proportion using the means-extremes property of proportions to cross multiply. [1:09]
Khan Academy
Khan Academy: Vector Triple Product Expansion (Very Optional)
Video deriving the triple product expansion by expanding the cross product of 3 vectors and then simplifying it to the difference of dot products.
Khan Academy
Khan Academy: Vector Dot and Cross Products: Normal Vector From Plane Equation
Video finding the normal vector to a plane using its equation by first visualizing the vector and the plane and then solving for it.
Khan Academy
Khan Academy: Vector Dot and Cross Products: Vector Triangle Inequality
Thi videoreviews the Cauchy-Schwarz inequality and then shows a proof of the triangle inequality for vectors and relates it to the triangle inequality from 2-dimensional geometry.
Khan Academy
Khan Academy: Proof of the Cauchy Schwarz Inequality
PVideo first explains what the Cauchy-Schwarz inequality is and then shows a proof of it.
Khan Academy
Khan Academy: Dot and Cross Product Comparison/intuition
This video gives an intuition of what dot product and cross product represent. Also gives a comparison between cross product and dot product of vectors and how they are related.
Khan Academy
Khan Academy: Electricity and Magnetism: Cross Product 2
Video lecture provides a little more intuition on the cross product. [10:53]
Khan Academy
Khan Academy: Electricity and Magnetism: Cross Product 1
A video lecture that introduces how to do the cross product. Understand how crossing two vectos produces a third vector. [10:03]
