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If bar(a)=3hat(i)-2hat(j)+7hat(k),bar(b)...

If `bar(a)=3hat(i)-2hat(j)+7hat(k),bar(b)=5hat(i)+hat(j)-2hat(k)andbar(c)=hat(i)+hat(j)-hat(k)`, then find `bar(a)*(bar(b)xxbar(c))`.

Text Solution

Verified by Experts

`bar(a)*(bar(b)xxbar(c))=|{:(3,-2,7),(5,1,-2),(1,1,-1):}|`
`=3(-1+2)+2(-5+2)+7(5-1)`
`=3-6+28=25`.
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