Dot Product of Two Vectors, n-Space - Linear Algebra
This video explains the dot product of two vectors, including the formula, symbol, how to calculate it dot product of the IJ vectors and why is ij zero.
0:00 Dot product, geometric interpretation
3:15 Component form of the dot product
7:31 Dot product in n-space
9:01 Properties of the dot product
12:40 Cauchy-Schwarz inequality, defining the angle in n-space
14:45 Triangle inequality for vectors and distance
16:46 Evaluating the dot product using matrix multiplication