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If veca=2hati+ 3hatj-5hatk,vecb =m hati+...

If `veca=2hati+ 3hatj-5hatk,vecb =m hati+nhatj +12 hatk and veca xx vecb = vec0` then find (m,n)

Text Solution

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`vecaxxvecb= |{:(hati ,hatj ,hatk),(2,3,-5),(m,n,12):}|`
` = (36 + 5n) hati - (24 - 5m) hatj + ( 2n - 3m) hatk`
`= vec0`
`m= (-24)/5 , n = (-36)/5`
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