Minimum numbers of unequal vectors which can give zero resultant are -...
Minimum number of unequal vectors which can give three zero resultants.
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Minimum numbers of unequal vectors which can give zero resultant are -...
Explanation:
When two vectors are added, they can either give zero or a resultant vector. However, when three or more vectors are added, they can never give zero as the resultant vector. Let's understand why:
Two vectors:
When two vectors are added, they can either give zero or a resultant vector. If the two vectors are of the same magnitude and opposite in direction, they will give a resultant vector of zero. For example, if two forces of 5 N each are applied in opposite directions, they will cancel out each other and the net force will be zero.
Three vectors:
When three vectors are added, they can never give zero as the resultant vector. The reason is that three vectors can form a triangle, and the sum of any two sides of a triangle is always greater than the third side. Therefore, there will always be a resultant vector when three vectors are added.
Four or more vectors:
When four or more vectors are added, they can never give zero as the resultant vector. The reason is that four or more vectors can form a polygon, and the sum of any two sides of a polygon is always greater than the third side. Therefore, there will always be a resultant vector when four or more vectors are added.
Therefore, the minimum number of unequal vectors which can give zero resultant are two.