Problem 1: (2 points) a. Determine a T matrix that represents a rotation of 60° about the Z axis, followed by a translation of 4 unit of distance along the axis X, followed by a rotation of 30° about the fixed Y axis? b. A frame {A} is translated 4 unit of distance along the axis Z and then it is rotated 45° about the axis X. Consider a point with coordinates (0, 2, 1) with respect to the new frame {B}. Find the coordinates of that point with respect to the initial frame {A}.

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Problem 1: (2 points) a. Determine a T matrix that represents a rotation of 60° about the Z axis, followed by a translation of 4 unit of distance along the axis X, followed by a rotation of 30° about the fixed Y axis? b. A frame {A} is translated 4 unit of distance along the axis Z and then it is rotated 45° about the axis X. Consider a point with coordinates (0, 2, 1) with respect to the new frame {B}. Find the coordinates of that point with respect to the initial frame {A}.

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