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).
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 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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