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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 |
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Answer» 6 cu units `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 |
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