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Questions  

If a vector A having a magnitude of 8 is added to a vector B which lies along X-axis, then the resultant of
two vectors lies along Y-axis and has magnitude twice that of B, The magnitude of B is

a
65
b
125
c
165
d
85

detailed solution

Correct option is D

According to given condition,A+ Bi^ = Rj^   (where, R is the resultant vector)Also, R = 2B∴  ∣A+Bi^=2Bj^    or    A=2Bj^-Bi^∴    A2 = 4B2 + B2 = 5B2Here,    A = 8∴       64 = 5B2⇒  B=645=85

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