1.

If a is perpendicular to b and c, |a|=2, |b|=3, |c|=4 and the angle between b and c is (2pi)/(3), then [a,b,c] is equal to

Answer»

`4sqrt3`
`6sqrt3`
`12sqrt3`
`18sqrt3`

SOLUTION :`:. [(a,b,c)]=a. (bxxc)=a. (|b||c| "SIN" (2PI)/3 hat(N))`
`=|b||c| "sin" (2pi)/3 (a.hat(n))`
`=|a||b||c| ("sin" (2pi)/3)`
`[ :' a. hat(n)=|a||hat(n)| cos 0^(@)=|a|]`
`=2xx3xx4xxsqrt(3)/2=12 SQRT(3)`


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