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Let vec(a), vec(b) and vec(c) be three n...

Let `vec(a), vec(b) and vec(c)` be three non-coplanar unit vectors such that the angle between every pair of them is `(pi)/(3)`. If `vec(a) xx vec(b) + vec(b) xx vec(c) = pvec(a) + qvec(b) + rvec(c)`, where p, q and r are scalars, then the value of `(p^(2) + 2q^(2) + r^(2))/(q^(2))` is

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