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Question

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


A

2

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B

3

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C

4

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D

5

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Solution

The correct option is B

3


Explanation of the correct option :

Two vectors cannot give a resultant zero. A third vector should be present in a direction opposite to the resultant of the two vectors to get a resultant zero. The Triangle Law of vector addition states that a minimum of three vectors are required to obtain a zero resultant.

The Triangle Law of Vector :

The Triangle Law of Vectors asserts that if two vectors are represented as two sides of a triangle, the magnitude and direction of the resulting vector should be represented by the third side of the triangle.

We may also state that if two vectors representing the sides of a triangle are in order in magnitude and direction, then the resulting sum of the vectors is produced by closing the third side of the triangle and then taking the magnitude and direction in reverse order.

Hence the correct option is B.


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