Can we able to find the volume of parallelopipe or a cuboid or the volume something using determinant method ?

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Answer 1 · 2017-12-12T08:44:46

See below.

Given

#a=(a_1,a_2,a_3)#
#b=(b_1,b_2,b_3)#
#c=(c_1,c_2,c_3)#

we have

#(a xx b)cdot c = det((a),(b),(c))#

and

#V=abs((a xx b)cdot c )#

where #V# is the volume of the prism having as base area #abs(a xx b)# and main edge #c#.