VITEEE 2014 Paper

The given equation of the plane is 3x + 4y- 5z - 60 = 0. It can be written in the form

x

20

+

y

15

+

z

−12

= 1
which meets the coordinate axes at the points A(20,0,0), B(0,15,0) andC(0,0,-12). The coordinates of the origin are O (0,0,0).
Therefore, volume of the tetrahedron OABC is =

1

6

|

20	0	0
0	15	0
0	0	−12

| =

1

6

|20 × 15 × (-12)| = 600