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Three forces `vecF_(1)=(3hati+2hatj-hatk)` dynes, `vecF_(2)=(3hati+4hatj-5hatk)` dynes and `vecF_
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Three forces `vecF_(1)=(3hati+2hatj-hatk)` dynes, `vecF_(2)=(3hati+4hatj-5hatk)` dynes and `vecF_(3)=a(hati+hatj-hatk)` dynes act simultaneously on a particle. What should be the value of \'a\' so that the particle may remain in equilibrium?