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Question
Find the volume of a parallelopiped whose edges are represented by the vectors:
`vec a = 2 hat i - 3 hat j - 4 hat k`, `vec b = hat i + 2 hat j - hat k` and `vec c = 3 hat i + hat j + 2 hatk`
Solution
Volume of parallelopiped = `[vec avec b vec c]`
`= |(2,-3,-4),(1,2,-1),(3,1,2)|`
`= 2(4+1) + 3(2 + 3) - 4(1 - 6)`
= 10 + 15 + 20
= 45 cubic units
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