Question

Are (7 comma negative 3 comma negative 9 comma 2 )and (14 comma negative 6 comma negative 18 comma 4 )homogeneous coordinates for the same point in set of real numbers R cubed​? Why or why​ not?

Answer 1

The given points are the homogeneous coordinates of same point.

Explanation:

The given points are (7, -3, -9, 2) and (14, -6, -18, 4).

If we multiply the first coordinate with the common factor 2, then we will get the coordinates of the second point. Hence, as per the definition of homogeneouos point, the given coordinates are homogeneous coordinates of same point.