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Geometry

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The Geometry of Euclidean Space

Vectors in n-space

Cauchy–Bunyakovskii–Schwarz Inequality

Let x,yx,y be vectors in RnR^n. Then

x<yxy|x<y| \leq ||x||||y||

Triangle Inequality

Let x,yx,y be vectors in RnR^n. Then

x+yx+y||x+y|| \leq ||x||+||y||

Next steps

Linear Algebra

Vector Calculus