सदिश `4hati-hatj+3hatk` तथा `-2hati+hatj-2hatk` के लम्बवत 9 इकाई परिमाण वाला सदिश ज्ञात किजिए।

Explanation

(i) `|A|=sqrt((2)^2+(3)^2+(4)^2) = sqrt(29)` "मात्रक"
`|B|=sqrt((3)^2+(2)^2+(-3)^2)=sqrt(22)`"मात्रक"
(ii) `A.B =(2hati+3hatj+4hatk).(3hati+2hatj-3hatk)`
=6+6-12=0
`AxxB =|(hati,hatj,hatk),(2,3,4),(3,2,-3)|`
`=hati(-9-8-hatj(-6-12)+hatk(4-9)`
`=-17hati+18hatj-5hatk`
(iv) `cos theta=(A.B)/(|A||B|)=0" या " theta=90^@`
(v) `hatn=(AxxB)/(|AxxB|)`
`=(-17hati+18hatj-5hatk)/(sqrt((-17)^2+(18)^2+(-5)^2))`
`hatn=(-17hati+18hatj-5hatk)/(sqrt(638))`