Question: The definition u v = |u| |v| cos implies that |u v| |u||v| (because |cos | 1). This inequality, known

The definition u • v = |u| |v| cos θ implies that |u • v| ≤ |u||v| (because |cos θ| ≤ 1). This inequality, known as the Cauchy–Schwarz Inequality, holds in any number of dimensions and has many consequences.

What conditions on u and v lead to equality in the Cauchy–Schwarz Inequality?

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