Segments in this Video

The Cauchy-Schwarz Inequality and the Vector Triangle (01:23)


The Vector Triangle Inequality is directly from the Cauchy-Schwarz Inequality. The vector-triangle inequality is to test for linear dependence of linear independence. We can relate this to the inequalities learned in introductory geometry.

The Points of the Triangle (02:26)

When labeling the sides of a triangle, use a, b, and c. A point on a triangle is a vertex and is the fastest way to get from one point to another. If two points are co-linear, then the route between them is the same as the route between the points themselves.

Acute and Right Triangles (01:01)

When you have an acute or right triangle then the triangle inequality will hold. You will want to translate the triangle inequality to the vector triangle inequality.

Finding the Length Between Vectors (04:34)

Two vectors share an origin, and are sides of a triangle with three sides. The length of a vector helps to understand how large the vector is in terms of dimensions. When adding vectors, take one vector, and fix the initial point to the terminal point of the other vector.

Linear Independent vs. Linear Dependence (01:03)

When the sum of the vectors is less than the sum of the lengths of the vectors, the two vectors of this problem are linearly independent.

Credits (00:00)


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Vector triangle inequality

Part of the Series : Integral Calc: Linear Algebra
3-Year Streaming Price: $49.95



This video tutorial works through math problems/equations that address topics in Linear Algebra. This specific tutorial addresses Vector triangle inequality.

Length: 11 minutes

Item#: BVL275902

Copyright date: ©2019

Closed Captioned

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