Together with a rotation matrix, R, a translation vector, t, yields a relation between two equivalent positions in a crystal, given by Rx+ t = x'. Please see the link.
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In 2 dimensional space it is a translation vector which is a 2x1 column vector.
It is a translation on the Cartesian plane
The vector (6, -2)T
6
translation and reflection are alike in the sense that they are generally both examples of an image being moved or changed, however translation is the movement of an image along a vector while reflections reflects an image over a given axis.