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Vector length

a.k.a.

• Norm

Define

The non-negative scalar

\[\begin{equation*}
  \| \vec{v} \| = \sqrt{\vec{v} \cdot \vec{v}}.
\end{equation*}
\]

Imagine

… in the real plane \(\mathbb{R}^2\):

1. Draw \(\vec{v}\) as a point \(P\).
2. Measure the length from the origin to \(P\).

Implement

… in Scheme as

• my-vector-length

  (define (my-vector-length vector)
    (sqrt (my-vector-dot-product vector vector)))
  

  in terms of my-vector-dot-product.