Volume = ( [\veca,\vecb,\vecc] ) = Determinant [ \beginvmatrix 2 & -3 & 4 \ 1 & 2 & -1 \ 3 & -1 & 2 \endvmatrix ] = ( 2(4 - 1) - (-3)(2 + 3) + 4(-1 - 6) ) = ( 2(3) + 3(5) + 4(-7) ) = ( 6 + 15 - 28 = -7 ). Volume = ( | -7 | = 7 ) cubic units.
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