What length restrictions are required for three vectors to have a vector sum of zero?
Please explain why this the case.|||There's no particular restrictions, other than that the total length of the vectors must equal zero. For example, here's 3 vectors:
-----------%26gt; (12 units)
%26lt;------- (8 units)
%26lt;--- (4 units)
Let's take the arrow pointing right as being 'positive'. It has a length of +12. This also means that the other two vectors have lengths of -4, and -8 (negative signs since they're facing the opposite way). The sum of all these numbers is zero, therefore the vector sum is zero. The vectors do not have to be in the same line though if you're working in 2+ dimensions, just add all the vertical parts (should be zero), and all the horizontal parts (also zero) separately!
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