Vector Norms

in #science9 years ago (edited)


Image Source


Vector Norms



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(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:


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In one dimension, the vector v


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The absolute value can be viewed as the (positive) distance from 0.


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Calculating The Distance Between Two Vectors In n Dimensions With Norms



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Practice Problems



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Solutions


Here are the solutions to the above practice problems.


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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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