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If veca = 3hati – hatj + 2hatk, hatb = 2hati + hatj – hatk, then find |veca xx vecb|. - Mathematics and Statistics

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Question

If `veca = 3hati - hatj + 2hatk, hatb = 2hati + hatj - hatk`, then find `|veca xx vecb|`.

Sum
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Solution

`veca xx vecb = |(hati, hatj, hatk),(3, -1, 2),(2, 1, -1)|`

= `(1 - 2)hati - (-3 - 4)hatj + (3 + 2)hatk`

= `-hati + 7hatj + 5hatk`

∴ `|veca xx vecb| = sqrt((-1)^2 + 7^2 + 5^2)`

= `sqrt(1 + 49 + 25)`

= `sqrt(75)`

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