Find the volume of the tetrahedron having the edges i + j + k, i - j and i + 2j + k.
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Volume of tetrahedron having edges
a=i + j + k,
b=i - j and
c= i + 2j + k
can be given by scalar triplet [a b c]
= a.(b x c)
b x c = i(-1)-j(1)+z(3)
=-i-j+3z
=> a.(B x C)=(i + j + k).(-i-j+3z)
= -1-1+3
Volume= 1 unit cube
a=i + j + k,
b=i - j and
c= i + 2j + k
can be given by scalar triplet [a b c]
= a.(b x c)
b x c = i(-1)-j(1)+z(3)
=-i-j+3z
=> a.(B x C)=(i + j + k).(-i-j+3z)
= -1-1+3
Volume= 1 unit cube
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