Question
In this figure below, the co-ordinates of point G in space are (a, b, c). Find the co-ordinates of the remaining vertices of the cuboid.
Solution
O is the point of concurrence of the co-ordinate axes.
O is (0, 0, 0)
A lies on x-axis A is (a, 0, 0)
B lies on y-axis B is (0, b 0)
C lies on z-axis C is (0, 0, c)
D lies on plane XOY i.e. z = 0 D is (a, b, 0)
E lies on plane YOZ i.e. x = 0 E is (0, b, c)
F lies on plane ZOX i.e. y = 0 F is (a, 0, c)