A quadratic 10x10 point array of edge length 1 is grouped in the z plane . One edge point is colored in red and connected to the origin by a red vector. One can shift the array by drawing the red point with the mouse to any position in the plane.
The size of the array can be decreased by a slider until just the red point is visible. This allows you to experiment with a single point. The scale of the coordinate system is adjusted to the size of the array.
Each point (dividend) of the array is divided by a second point (green divisor vector). By drawing the blue arrowhead with the mouse, the absolute size and direction of the green divisor vector can be changed.
In the u plane the result (quotient) of the division is displayed. The angle of the quotient vector is the difference of the angles of dividend and divisor. The length of the quotient vector is the quotient of the lengths of the dividend vector divided by that of the divisor vector. The array is rotated by the negative angle of the divisor vector. Accordingly its orientation is changed.
The reset button resets to the default position.