Question

Minimum number of unequal vectors which can give zero resultant are:

• A. two
• B. three
• C. four
• D. more than four

Answer 1

The correct option is B three

Two unequal (in magnitude) cannot give a zero resultant vector because only an opposite vector of same magnitude can nullify a non-zero vector.

However three unequal vectors (in magnitude) will give a zero vector as resultant if they form a triangle as shown in the figure.

$\therefore$ $\overrightarrow{u_1}+\overrightarrow{v_1}+\overrightarrow{v_2}=0$