The tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (1, 0, 0), (0, 2, 0), and (0, 0, 3) is passing through (1,2,3).
The general equation of the plane is
ax+by+cz = d
or
x/A + y/B + z/C = 1 where A = d/a, B = d/b, C = d/c
We use the x/A + y/B + z/C = 1 equation to determine the unknowns when, the plan passes through the coordination axis.
The given plane then passes through A (1, 0, 0), B (0, 2, 0), and C. (0, 0,3).
A =1/A + 0/B + 0/C
A = 1
B =0/A + 2/B + 0/C
B = 2
C= 0/A + 0/B + 3/C
C = 3
Thus we can say that the plane is passing through (1,2,3)
A coordinate plane is also known as a rectangular coordinate plane grid, is a two-dimensional plane with a vertical Y-axis and a horizontal X-axis.
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