यदि `oversetto a=3hati + 2hatj +2hatk ,oversetto b =-hati +3hatj +hatk ` तथा `oversetto c =hati+hatj +hatk ` तो `oversetto axx(oversetto b xxoversetto c ) ` का मान ज्ञात कीजिए|

Explanation

हम जानते है की
` " "oversetto axx(oversetto bxxoversetto c) =(oversetto a *oversetto c)oversetto b -(oversetto a *oversetto b )oversetto c " "...(1)`
अब ` oversetto a*oversetto c=(3hati +2hatj +2hatk )*(hati +hatj +hatk )`
` " "= 3xx1+2xx1+2xx1=3+2+2=7`
` oversetto a*oversetto b =(3hati +2hatj +2hatk )*(-hati +3hatj -hatk ) `
` " " =3 (-1) +2(3)+2(-1)=-3+6-2=1`
ये सभी मान समीकरण (1 )में रखने पर `oversetto a xx(oversetto bxxoversetto c) =7oversetto b -1oversetto c=7(-hati +3hatj-hatk)- (hati +hatj+hatk ) `
` " "7hati+21hatj-7hatk-hati -hatj-hatk `
` " "=-8hati+20hatj -8hatk`