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Question
Find the volume of the parallelopiped whose coterminus edges are given by vectors `2hati+5hatj-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+5hatj-4hatk`
`vecb= 5hati+7hatj+5hatk`
`vecc=4hati+5hatj-2hatk`
`therefore V=[veca vecb vecc]=[[2,5,-4],[5,7,5],[4,5,-2]]`
`=2(-14-25)-5(-10-20)-4(25-28)`
`=2(-39)-5(-30)-4(-3)`
`=-78+150+12`
`=84 cube" "Unit`
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