1.

The volume of the parallelepiped whose coterminous edges are represented by the vectors 8vec(b)xxvec(c),3vec(c)xxvec(a)and4vec(a)xxvec(b), where vec(a)=(1+sintheta)hat(i)+costhetahat(j)+sin2thetahat(k), vec(b)=sin(theta+(2pi)/(3))hat(i)+cos(theta+(2pi)/(3))hat(j)+sin(2theta+(4pi)/(3))hat(k), vec(c)=sin(theta-(2pi)/(3))hat(i)+cos(theta-(2pi)/(3))hat(j)+sin(2theta-(4pi)/(3))hat(k) is 18 cubic units, then the values of theta, in the interval (0,(pi)/(2))," is/are"

Answer»

`(pi)/(9)`
`(2PI)/(9)`
`(pi)/(3)`
`(4PI)/(9)`

ANSWER :A::B::D


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