Abstract: In geometrical computations it is often necessary to find two unit vectors such that they and a given vector form an orthogonal basis. Computationally simple forms for the two unit vectors ...

Question: How to find the angle between two vectors along a particular direction, i.e clockwise or anti-clockwise using the Inventor API? The angle between any two vectors (angle being defined as the ...

Question: How to find the angle between two vectors along a particular direction, i.e clockwise or anti-clockwise using the Inventor API? The angle between any two vectors (angle being defined as the ...

Unit vectors have a magnitude of 1. The basic unit vectors are \(i = \left( \begin{array}{l}1\\ 0\\0\end{array} \right)\), \(j=\left(\begin{array}{l}0\\1\\0\end{array ...

Snell's law describes the relationship between the incidence angle and reflection (or refraction) angle of a light ray impinging on the interface between two different isotropic media. In this paper, ...