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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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Which describes a grid motion transformation in geometry?
In 2 dimensional space it is a translation vector which is a 2x1 column vector.
What term is given to the net figue that results from vector addition?
It is a translation on the Cartesian plane
What rule describes the translation of a point from -5 4 to 1 2?
The vector (6, -2)T
A figure in the coordinate plane is reflected across the line y=x+2 and then across the line y=x+4. what is the translation vector that describes the composition of the reflections Give your answer in vector format?
6
How are a translation and a reflection alike?
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.
What is a change in position that is a vector quantity?
a translation
Translation followed by a reflection in a line parallel to the translation vector?
Glide reflection
What is translation along the vector?
Translation along a vector involves moving an object in a specific direction by a specified distance based on the properties of the vector. This operation involves shifting the object without rotating or changing its orientation, following the direction and magnitude of the vector.
Which describes a grid motion transformation in geometry?
In 2 dimensional space it is a translation vector which is a 2x1 column vector.
If you were to describe a translation of triangle ABC what information would you need to include in your description?
The translation vector.
What has the author George Huntington Williams written?
George Huntington Williams has written: 'Modern petrography' -- subject(s): Petrology 'Elements of crystallography for students of chemistry physics and mineralogy' -- subject(s): Crystallography 'Elements of crystallography' -- subject(s): Crystallography 'Elements of crystallography' -- subject(s): Crystallography
When was Crystallography Reviews created?
Crystallography Reviews was created in 1987.
A deck is constructed by translating boards so that each board is a translation of the one next to it. Given a board and the translation vector, which figure represents the translation?
2 stacked
What term is given to the net figue that results from vector addition?
It is a translation on the Cartesian plane
When was Journal of Chemical Crystallography created?
Journal of Chemical Crystallography was created in 1971.
What is an affine transformation?
An affine transformation is a linear transformation between vector spaces, followed by a translation.
The figure shows the preimage and image of three points that have been translated by a vector, plus the preimage of quadrilateral RSTU. Is this statement true or falseAA' can be used as the translation vector?
true
