# Find the volume of tetrahedron whose coterminus edges are 7i+k; 2i+5j−3k and 4i+3j+k - Mathematics and Statistics

Find the volume of tetrahedron whose coterminus edges are 7hat i+hatk; 2hati+5hatj-3hatk and 4 hat i+3hatj+hat k

#### Solution

Volume of tetrahedron whose conterminus edges are bara,barb and barc " is " 1/6[bara barb barc].

"Here " bara=7hati+hatk; barb=2hati+5hatj-3hatk;barc=4hati+3hatj+hatk.

Volume of tetrahedron  =1/6[bara,barb,barc]

=1/6|[7,0,1],[2,5,-3],[4,3,1]|

=1/6[7(5+9)-0(2+12)+1(6-20)]

=1/6[98-0-14]

=1/6[84]

= 14

Hence volume of tetrahedron is 14 cubic units.

Concept: Three Dimensional Geometry - Problems
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