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## Homework Statement

The question says to find a proof for Cauchy's Inequality and then the Triangle Inequality.

This is an elementary linear algebra class I'm doing, so I can't use inner products or anything.

## Homework Equations

## The Attempt at a Solution

I got the proofs using algebra, but I'm having trouble seeing them geometrically. I want to draw a picture for Cauchy's Inequality but can't quite visualize it.

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