For all vectors u and ν of an inner product space Cauchy – Schwarz Inequality is given by

1
< u, ν >2 ≥ < u, u > < ν, ν > 
2
< u, ν >2 ≤ < u, u >
3
< u, ν >2 ≤ < u, u > < ν, ν >
4
< u, ν >2 ≤ < ν, ν >

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