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Given a cube with the size of 1 × 1 × 1 at its origin in Figure 2.13, assume that node 1 is fixed and node 5 is sheared from (1, 1, 1) to (2, 2, 2), and determine the matrix for 3D shearing and the new positions of all vertices after shearing.

Figure 2.13 Example of the 3D shearing transformation of an object. (a) Before transformation. (b) After transformation.