Three forces `vecF_(1)=a(hati-hatj+hatk),vecF_(2)=2hati-3hatj+4hatk` and `vecF_(3)=8hati-7h

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Three forces `vecF_(1)=a(hati-hatj+hatk),vecF_(2)=2hati-3hatj+4hatk` and `vecF_(3)=8hati-7hatj+6hatk` act simultaneously on a particle. If the particle is in equilibrium, the value of `alpha` is
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