Refer to problem 71. The points (-3,0, (-1,-2), (3,1) and (1,3) are the vertices of a parallelogram ABCD.

(a) Find the new vertices of a parallelogram A'B'C'D' if it is translated by v = (3, -2).

(b) Find the new vertices of a parallelogram A'B'C'D' if it is translated by -1/2v.

Refer to problem 71

The field of computer graphics utilizes vectors to compute translations of points. For example, if the point (-3,2) is to be translated by v = (5,2), then the new location will be u' = u + v = (-3,2) + (5,2) = (2,4) As illustrated in the figure, the point (-3,2) is translated to (2,4) by v.

Transcribed Image Text:

(2, 4) (5, 2) ( ) -3, 2) u' V -5