1.

The volume of tetrahedron included between the plane `2x-3y+ 4z-12=0` and three co-ordinate planes is

Answer» when y=0,z=0
2x-12=0,x=6
when x=0,y=0
4z-12=0,z=3
when x=0,z=0
-3-12=0,y=-4
`vec(AB)=6hati,vec(AC)=3hatk,vec(AD)=-4hatj`
`V=1/6|[vec(AB)*vec(AC)*vec(AD)]|`
`=1/6[6hati*(3hatk*-4hatj)|`
`=1/6|6hati*12hati|=72/6=12`.


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