Understanding Resultant: When is a Resultant Zero in First Quadrant Vectors?

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A resultant vector is zero only when three vectors form a closed shape, such as a triangle, in the first quadrant of an x-y coordinate system. However, if the vectors are represented correctly with their tails at the origin, their sum cannot be zero since adding three positive numbers cannot yield a negative result. Misrepresentation of vectors can lead to confusion, suggesting that a zero resultant is possible when it is not. The discussion emphasizes the importance of accurate vector representation in understanding their resultant. Therefore, in a proper vector setup, three vectors in the first quadrant cannot sum to zero.
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When is a resultant zero? When three vectors are on the first quadrant of an x-y coordinate system does that resultant be zero?
 
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Think about what you are asking. If you add three positive numbers is it possible for their sum to be zero? :-)
 
As long as you three vectors all start witht heir tails in the origin, then their sum cannot be zero. BUT sometimes teachers are sloppy in their representations of vectors: It is possible to draw three vectos in the first quadrant ofa x-y graph such that their sum is zero (they would form a closed triangle with all arrows pointing either clockwise or ccw); but this would be due to a misrepresentation of vectors in a quadrant system.
 
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