Question

How many minimum numbers of a coplanar vector having different magnitudes can be added to give zero resultant

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

Answer: (B)

Let ${\overrightarrow{F}}_1$ and ${\overrightarrow{F}}_2$ are two vectors having resultant ${\overrightarrow{F}}_3$ i.e. ${\overrightarrow{F}}_3={\overrightarrow{F}}_1+{\overrightarrow{F}}_2$ .
This means all the three forces ${\overrightarrow{F}}_1$ , ${\overrightarrow{F}}_2$ and ${\overrightarrow{F}}_3$ lie in the same plane.
Therefore, if there be a vector acting exactly opposite of ${\overrightarrow{F}}_3$ with two other vectors ${\overrightarrow{F}}_1$ and ${\overrightarrow{F}}_2$ , the net force is zero but they must be coplanar