Transformations of (1,2,3)
Source:
November 15, 2005
rotationanalytic geometrygeometrygeometric transformationreflectionlinear algebramatrix
Problem Statement
The point P \equal{} (1,2,3) is reflected in the -plane, then its image is rotated by about the -axis to produce , and finally, is translated by 5 units in the positive- direction to produce . What are the coordinates of ?
(A)\ (1,7, \minus{} 3) \qquad (B)\ ( \minus{} 1,7, \minus{} 3) \qquad (C)\ ( \minus{} 1, \minus{} 2,8) \qquad (D)\ ( \minus{} 1,3,3) \qquad (E)\ (1,3,3)