Question

The sum of the magnitudes of two forces acting at a point is 16N. The resultant of these forces is perpendicular to the smaller force has a magnitude of 8 N. If the smaller force is magnitude x, then the value of x is 

1. 2 N 
2. 4 N 
3. 6 N 
4. 7 N

Answer 1

Correct Answer 3. 6N

Explanation :

F₁ + F₂ = 16 

Co­initial vectors are those, which start with same point. 

Given A + B = 16 … (i) 

Since, resultant is perpendicular to smaller vector