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A particle is acted upon by the forces v...

A particle is acted upon by the forces `vecF_(1)=2hati+ahatj-3hatk , vecF_(2)=5hati+chatj-bhatk, vecF_(3)=b hati+5hatj-7hatk, vecF_(4)=chati+6hatj-a hatk`. Find the values of the constants a, b, c in order that the particle will be in equilibrium.

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