Example 1.

If 0° ≤ θ ≤ 90°, as in this case, the scalar projection of a on b coincides with the length of the vector projection..

Length of a Vector formula.

Here is as vector to D: The nearest point on line from (0,0).

The dot product of two vectors is related to the angle θ between the two vectors.

Applet: Helix arc length.

You can plot this on XLS quite easily and calculate the arc..

Example of One Step of Pseudo-Arc Length Continuation.

The basic idea for computing the arc length is to divide the curve into small segments and sum up the straight-line lengths of those small segments..

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