Lesson 5 of 10 · 6 min
Points on axes and planes
NCERT §11.3 Note, Examples 1-2
At noon the drone's shadow falls on the ground right below it, and a camera mast stands on the pad itself. What do the coordinates of such points look like?
The lesson in notes
In short
The origin is (0, 0, 0).
On an axis two coordinates vanish: points of the x-axis are (x, 0, 0), of the y-axis (0, y, 0) and of the z-axis (0, 0, z).
On a coordinate plane one coordinate vanishes: the XY-plane holds points (x, y, 0), the YZ-plane (0, y, z) and the ZX-plane (x, 0, z).
The missing letter names the zero: the ZX-plane has no y in its name, so y = 0 on it. The XY-plane is also where z = 0, and so on.
In the box through P(2, 4, 5), the corner F lies in the ZX-plane, so its y-coordinate is 0 and F is (2, 0, 5). The other corners on the coordinate planes are (2, 4, 0) on the XY-plane and (0, 4, 5) on the YZ-plane.