1.

If the position vectors of the vertices A, B and C are 6hat(i), 6hat(j) and hat(k) repsectively w.r.t. origin O, the volume of the tetrahedron OABC is

Answer»

6 cu units
3 cu units
`1/6` cu units
`1/3` cu units

Solution :GIVEN that, the position VECTORS of the VERTICES A, B and C are
`OA =6 hati =6 hati+0 hatj+0hatk`
`OB=6 hatj =0hati +6 hatj +0hatk`
`and OC =hatk=0hati+0hatj+hatk`
Now, volume of the tetahedron
`=1/6{OA OB OC ]=1/6 |{:(6,0,0),(0,6,0),(0,0,1):}|`
`=1/6(6xx6xx1)=6` cu units


Discussion

No Comment Found

Related InterviewSolutions