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If the magnitude of 2 vector and their resultant are same' what is the angle between the 2 vector?

Suppose a and b are two vectors with an angle, ?, between them such that their resultant is equal to one of them, say, a 
a^2 = a^2 + b^2 + 2abcos? 
cos? = - b/2a 
? = ? - arc cos (b/2a) 
if the angle between the two vectors, a and b is ? - arc cos(b/2a), then their resultant will be a. 



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