Can two vectors of unequal magnitude add up to give the zero vector?
Can three unequal vectors? Under what conditions?|||Suppose two unequal vectors, A and B, did add up to zero.
A + B = 0
-%26gt; A = -B
-%26gt; magnitude A = magnitude B
-%26gt;%26lt;- contradiction
Apparently the answer is no, they cannot.
It's easy to provide plenty of examples of three different vectors adding up to zero. When you draw them all head-to-tail, they make a triangle.
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