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A set of forces are acting on a body in equilibrium. Which one of the following is true?

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A set of forces are acting on a body in equilibrium. Which one of the following is true?

(a) The vector sum of the forces is zero

(b) The scalar sum of the force is zero

(c) All the forces are zero

(d) All the forces are equal and opposite in direction to each other

The question was asked in final exam.

I'd like to ask this question from Laws of Motion topic in division Laws of Motion of Physics – Class 11

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The correct choice is (a) The vector sum of the forces is zero

Explanation: When a body is in equilibrium, the sum of all the forces is zero. The sum of all the forces relates to the vector sum of all the forces and not any other sum. The scalar sum is always positive hence it cannot be zero. The forces need not be zero for the body to be in equilibrium, only the vector sum has to be zero. The same goes with the magnitude and direction of the forces.

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