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A particle is moving under the action of three forces acting simultaneously in a plane. Can the particle be in equilibrium?


Yes, the particles acn be in equilibrium if the resultant of two forces is equal and opposite to the third force. 
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How will you represent a vector quantity?

A vector quantity can be represented by drawing a line parallel to the vector quantity having length equal to magnitude of quantity. Arrow-head is drawn in the direction of vector quantity. 
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If straight R with rightwards arrow on top is the resultant of two vectors straight A with rightwards arrow on top space and space straight B with rightwards arrow on top then what is the equilibrant vector of straight A with rightwards arrow on top space and space straight B with rightwards arrow on top?


The equilibrant vector is opposite in direction to the resultant vector.

So, equilibrant vector of  

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What is equilibrant force?

Equilibrant force is the force, which is needed to bring the body in equilibrium. The equilibrant force is equal and opposite to the resultant of all the forces acting on the body. 
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What is equilibrium?

When the net force acting on a body is zero, the body is in equilibrium. The body is either at rest or moves with uniform velocity. 
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