Maharashtra State BoardHSC Arts 12th Board Exam
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If Bara = 3hati - 2hatj+7hatk, Barb = 5hati + Hatj -2hatk and Barc = Hati + Hatj - Hatk Then Find Bara.(Barbxxbarc) - Mathematics and Statistics

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Sum

if `bara = 3hati - 2hatj+7hatk`, `barb  = 5hati + hatj -2hatk`and `barc = hati + hatj - hatk` then find `bara.(barbxxbarc)`

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Solution

`bara(barbxxbarc) = [bara barb barc] = [(a_1,a_2,a_3),(b_1,b_2,b_3),(c_1,c_2,c_3)]`

`:. bara(barbxxbarc) = |(3,-2,7),(5,1,-2),(1,1,-1)|`

= 3(-1+2) + 2(-5+2) + 7(5 -1)

= 3-6+28

= 25

Concept: Scalar Triple Product of Vectors
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