Chapter 1: Vectors, Lines and Planes
Section 1.1: Cartesian Coordinates and Vectors
Determine the coordinates of the tip of the position vector to 1,2 if it is translated so its tail is at the point 3,−4.
In Figure 1.1.9(a), the position vector to 1,2 has been translated so its tail is at the point 3,−4.
With the translated vector, the dotted red lines form a right triangle whose legs have the dimensions of the components of the position vector.
Simple arithmetic shows that the coordinates of the tip of the translated vector must be
The vector arithmetic discussed in Section 1.2 will reveal that the result suggested by Figure 1.1.9(a) is normally obtained by the addition of vectors.
use plots, Student:-VectorCalculus in
Figure 1.1.9(a) Translated position vector
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