Sequences And Series

Question
CBSEENMA11015061

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.
rightwards double arrow  O is (0, 0, 0)
A lies on x-axis rightwards double arrow A is (a, 0, 0)
B lies on y-axis rightwards double arrowB is (0, b 0)
C lies on z-axis rightwards double arrow C is (0, 0, c)
D lies on plane XOY i.e. z = 0 rightwards double arrow D is (a, b, 0)
E lies on plane YOZ i.e. x = 0 rightwards double arrow E is (0, b, c)
F lies on plane ZOX i.e. y = 0  rightwards double arrow F is (a, 0, c)