EL ENG 16A- Midterm Exam Guide - Comprehensive Notes for the exam ( 35 pages long!)
16 Feb 2018
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Document Summary
The inner product of two vectors is product of their lengths multipled by the angle between them. The inner product of orthogonal vectors is 0 (angle is 90, so cos(90)=0) (the two vectors are not related to each other at all) Inner product does not depend on the coordinate system the vectors are in. Inner products represent how aligned the two vectors are with one another. The inner product between two vectors depends on the norm (magnitude) of each of the two vectors. Any scaling of a vector in an inner product will scale the inner product as a whole by that same constant. Bilinearity: the combined property of the homogeneity and additivity property. Triangle inequality theorem: the sum of the lengths of any two sides of a triangle is greater than the length of the 3rd. Cauchy-schwarz inequality: relates the inner products of two vectors to their length. Cauchy-schwarz inequality is equivalent to the triangle inequlity for higher dimensions.
