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Find abca¯.(b¯×c¯) if aijkbijka¯=3i^-j^+4k^,b¯=2i^+3j^-k^ and cijkc¯=-5i^+2j^+3k^ - Mathematics and Statistics

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Sum

Find `bar"a".(bar"b" xx bar"c")` if `bar"a" = 3hat"i" - hat"j" + 4hat"k" , bar"b" = 2hat"i" + 3hat"j" - hat"k"` and `bar"c" = - 5hat"i" + 2hat"j" + 3hat"k"` 

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Solution

`bar"a".(bar"b" xx bar"c") = |(3,-1, 4),(2,3,-1),(-5,2,3)|`

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

= 33 + 1 + 76

= 110

Concept: Scalar Triple Product of Vectors
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