Question

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

Source: Phil Dadd. Vectors and Matrices: A Primer. www.gamedev.net/reference/articles/article1832.asp

(a) Determine the new coordinates of $(3,-1)$if it is translated by .

(b) Illustrate this translation graphically.

Short answer

The new coordinates will be $(-1,4)$.

Step-by-step solution

Part (a) Step 1. Find new coordinates of (3,-1)

Therefore, new coordinates of $(3,-1)$can be found as:

Part (b) Step 1. Illustrate this translation graphically