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if A = 2hati - 3hatj+7hatk, B = hati + 2...

if `A = 2hati - 3hatj+7hatk, B = hati + 2hatj and C=hatj - hatk`. Find `A(BxxC)`

Text Solution

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`A(BxxC) = [ABC]`, volume of parellelopiped
`=|(2,-3, 7),(1,-2,0),(0,1,-1)|= 2(-2-0) + 3(-1-0)+7(1-0)=-4-3+7=0`
Therefore A, B and C are coplanar vectors.
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