एक एकक सदिश ज्ञात कीजिए जो सदिश ` 3 hati + 2hatj - hatk " तथा" 12 hati + 5hatj - 5hatk` दोनों पर लम्ब हो |

Explanation

`(3hati + 2hatj - hatk) xx (12 hati + 5hatj - 5hatk ) = |{:(hati, hatj , hatk),(3,2,-1),(12, 5 ,-5):}|`
` = hati (-10 + 5 ) - hatj (-15 + 12 ) hatk (15 - 24)`
` = - 5 hati + 3hatj - 9hatk `
मापांक ` sqrt({(-5)^(2) + (3)^(2) + (-9)^(2)})`
` = sqrt (25 + 9 + 81 ) = sqrt(115)`
तथा इकाई सदिश
`(veca xx vec b )/(|vecaxxvecab|) = (= 5hati + 3hatj - 9hatk )/(sqrt( 115))`