Vector Norms

Vector Norms

(for n = 1, 2, 3 and so on)
It is important to note that the norm is a scalar/number and not a vector.
In three dimensions the norm formula is written as:


In one dimension, the vector v

The absolute value can be viewed as the (positive) distance from 0.
Calculating The Distance Between Two Vectors In n Dimensions With Norms

Practice Problems
Solutions
Here are the solutions to the above practice problems.
References
- Elementary Linear Algebra (10th Edition) By Howard Anton
- QuickLaTeX.com for creating the math text images (except the first image).
- This post is based of my original page on my website here. I have included practice problems and solutions in this post.







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