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If `vec(a).hati=4" then"(vecaxxhatj).(2hatj-3hatk)` is equal to

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If `vec(a).hati=4" then"(vecaxxhatj).(2hatj-3hatk)` is equal to
A. 12
B. 2
C. 0
D. `-12`
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1 Answer

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Correct Answer - D
`(vec axx vecj)*(2hatj-3hatk)=veca*{hatjxx(2hatj-3hatk)}`
`= veca.{(-3(hatjxxhatk)}`
`=-3(veca-hati)`
`=-12 ( :. Veca*hati`=4 given)
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