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If a is perpedicular 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 toA. `4sqrt(3)`B. `6sqrt(3)`C. `12sqrt(3)`D. `18sqrt(3)` |
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Answer» Correct Answer - C `therefore [a,b,c] = a(|b||c| sin .(2pi)/(3)hatn)` `=|a||b||c|(sin.(2pi)/(3))` `[because a hatn =|a||hatn| cos 0^(@) =|a|]` ` = 2xx 3 xx 4 xx (sqrt(3))/(2)` ` = 12 sqrt(2)` |
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