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If vec(a) = 3 alpha hat(i) + 2hat(j) - ...

If ` vec(a) = 3 alpha hat(i) + 2hat(j) - 3 hat (k) , vec(b) = hat(i) + 6 alpha hat(j) - 2 hat(k) and hat (c ) = 2 hat(i) - 3 alpha hat(j) + hat(k) ` be such that `{(vec(a) xx vec(b))xx (vec(b) xx vec(c)) } xx (vec(c) xx vec(a)) = vec(O)` , then the value of `9 alpha ` is -

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