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Question 2: What is the minimum number of unequal vectors to result into a null vector? Explain with the help of a diagram.

Answer

On the minimum, three unequal vectors will give a zero resultant (or null vector).
min3vec
The resultant is said to be zero or null if the vectors being added forms a close shape when put head to tail. So three vectors of unequal magnitudes when put head to tail and they form a triangle (triangle is a close shape), the resultant is a null vector.

In the diagram three vectors  and vecc are added by head-to-tail method. The resultant vector is zero.

Note that two vectors can also give a zero resultant if they are equal and anti-parallel. However, the condition of the problem demands the vectors to be unequal. Therefore, we can’t take the case of two vectors.

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