CrossProductNormed (FB)¶

FUNCTION_BLOCK CrossProductNormed

This function will calculate the Cartesian product of two vectors \(v_{1}, v_{2} \in \mathbb{R^{3}}\). The result will be returned in vector \(v = \frac{v_{1} \times v_{2}}{\left \| v_{1} \times v_{2}\right \|} \in \mathbb{R^{3}}\).

Note

Keep in mind that, due to rounding errors, the input of two collinear vectors will not necessarily result in the null vector.

InOut:

Scope	Name	Type	Comment
Input	`v1`	Vector3d	Input vector \(v_{1} \in \mathbb{R}\)
Input	`v2`	Vector3d	Input vector \(v_{2} \in \mathbb{R}\)
Output	`v`	Vector3D	Normed outer product \(v \in \mathbb{R^{3}}\)
Output	`xError`	`BOOL`	Error flag `TRUE`: If the calculated outer product yields the null vector so that scaling is not possible