Minimum resultant force? The answer is A. Is it always zero or is there a method to find it? Question in attached file.

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Minimum resultant force? The answer is A. Is it always zero or is there a method to find it? Question in attached file.

Physics
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I want u think about it.. consider three co planar vectors of different magnitudes (think of them as sticks with different lengths) .. the resultant would be zero.. if they can be arranged to form three sides of a triangle.. now u think and tell me.. if i give u three sticks of any length.. can u ALWAYS make a triangle ?

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What would you think if 1 of the forces was MUCH bigger than the other two?
So the minimum force is not always zero and yeah you can't always make a triangle with three different lengthed lines. Makes sense, but how did we know that in this case the minimum resultant force is zero>? is there some calculation to be done? Thank you guys. @Mashy @MrNood
3, 4 and 5 are Pythagorean triplets.. so you immediately know, you can make a right angled triangle with them
I guess pythagorean triplets was the term I was Looking for, i needed the basic concept, thanks. Good day.

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