Definition:Square of Vector Quantity

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Let $\mathbf u$ be a vector.

Let $\mathbf u \cdot \mathbf u$ denote the dot product of $\mathbf u$ with itself.

Then $\mathbf u \cdot \mathbf u$ can be referred to as the square of $\mathbf u$ and can be denoted $\mathbf u^2$.

Also known as

The square of $\mathbf u$ is also seen referred to as the self-product of $\mathbf u$.

Also see