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»

`4sqrt(3)`
`6sqrt(3)`
`12sqrt(3)`
`18sqrt(3)`

SOLUTION :`[ABC]=a*(bxxc)=a*(|b||c|sin(2pi)/3hatn)`
` =|b||c| sin(2pi)/(3)A(.HATN)`
`=|b||c|sin""(2pi)/3|a||hatn|cos60^@`
`=|a||b||c|(sin(2pi)/3)`
`2xx3xx4xxsqrt3/2=12sqrt3`


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