Question

Consider the figure given below

In the above figure, it is shown that three planes are intersecting at a point $O$, such that these three planes are mutually perpendicular to each other.
The lines $X^{\prime} O X, Y^{\prime} O Y$ and $Z^{\prime} O Z$ are constituting the

• A. rectangular non-perpendicular system
• B. rectangular coordinate system
• C. rectangular parallel system
• D. None of the above

Answer 1

Answer: (B)

These problems are based on coordinate axes and coordinate planes in three dimensional space.

Considering the three planes intersecting at a point $O$ such that these three planes are mutually perpendicular to each other (see figure). These three planes intersect along the lines $X^{\prime} O X, Y^{\prime} O Y$ and $Z^{\prime} O Z$, called the $X, Y$ and $Z$-axes, respectively. We see that these lines are mutually perpendicular to each other. These lines constitute the rectangular coordinate system.