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Figure 3.1.14
EXAMPLE 3 Using the Translation Equations
Suppose that an -coordinate system is translated to obtain an -coordinate system whose origin has -coordinates
.
(a) Find the -coordinates of the point with the -coordinates .
(b) Find the -coordinates of the point with -coordinates .
Solution (a)
The translation equations are
so the -coordinates of are and .
Solution (b)
The translation equations in (a) can be rewritten as
so the -coordinates of Q are and .
In 3-space the translation equations are
