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Q.
Which pair of the following forces will never give resultant force of $2\, N$ ?
Motion in a Plane
Solution:
If two vectors $A$ and $B$ are given then range of their resultant can be written as $(A-B) \leq R \leq(A+B)$.
i.e. $R_{\max }=A+B$ and $R_{\min }=A-B$
If $B=1$ and $A=4$ then their resultant will lies in between $3\, N$ and $5 \,N$. It can never be $2\, N$.
If these three vectors are represented by three sides of triangle then they form equilateral triangle.