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Question
Find the volume of the parallelopiped whose coterminus edges are given by vectors
`2hati+3hatj-4hatk, 5hati+7hatj+5hatk and 4hati+5hatj-2hatk`
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Solution
If `veca vecb and vec c` are conterminus edges of parallelopiped then the volume of the parallelopiped =`[ veca vecb vecc ]`
where `veca=2hati+3hatj-4hatk`
`vecb= 5hati+7hatj+5hatk`
`vecc=4hati+5hatj-2hatk`
`therefore V=[veca vecb vecc]=[[2,3,-4],[5,7,5],[4,5,-2]]`
`=2(-14-25)-3(-10-20)-4(25-28)`
`=2(-39)-3(-30)-4(-3)`
`=-78+90+12`
`=24 "cube Unit"`
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