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if a=3i-j+4k, b=2i+3j-k, c=-5i+2j+3k then a.(b x c) - Mathematics and Statistics

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Question

If `bara=3hati-hatj+4hatk, barb=2hati+3hatj-hatk, barc=-5hati+2hatj+3hatk` then `bara.(barbxxbarc)=`

(A) 100

(B) 101

(C) 110

(D) 109

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Solution

(C) 110

`bara.(barbxxbarc)=|[3,-1,4],[2,3,-1],[-5,2,3]|`

`=3(9+2)+1(6-5)+4(4+15)`

`=33+1+76`

`=110`

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2016-2017 (July)

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