Given points A (1; 2; 3), B (0; 1; 2), C (0; 0; 3), D (1; 2; 0) Which of these points lie: 1) in the xy plane;

Given points A (1; 2; 3), B (0; 1; 2), C (0; 0; 3), D (1; 2; 0) Which of these points lie: 1) in the xy plane; 2) on the z-axis; 3) in the yz plane?

Let’s write all the coordinates of the points on each axis:

A (1; 2; 3)

B (0; 1; 2),

C (0; 0; 3),

D (1; 2; 0)

Ax = 1

Ay = 2

Az = 3

Bx = 0

Wu = 1

Вz = 2

Cx = 0

Su = 0

Cz = 3

Dx = 1

Dу = 2

Dz = 0

one

When a point lies on the XY plane, its Z coordinate must be zero. This condition is met by D (1; 2; 0).

2

The point lies on the axis. In this case, all its coordinates along the Y and X axes should be zero. This principle corresponds to C (0; 0; 3).

3

If the point belongs to the YZ plane, then the coordinates along the X axis will be zero. B (0; 1; 2) fits this criterion.