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Find the volume of the parallelopiped wh...

Find the volume of the parallelopiped whose conterminus edges are given by vectros `2hati+3hatj-4hatk,hatk+7hatj+5hatk and 4hati+5hatj-2hatk`.

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Let `bara=2hati+3hatj-4hatk`
`barb=5hatj+7hatj+5hatk`
`barc=4hati+5hatj-2hatk`
be the conterminus edges of the parallelopiped
Volume of the parallelopiped
`[bara barb barc]|{:(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` cubic units.
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