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Two vectors of equal magnitude 'A' on ad...

Two vectors of equal magnitude 'A' on addition give a resultant vector of magnitude 'A', then the magnitude of their difference vector is :

A

`sqrt(2)`A

B

`sqrt(3)A`

C

`2A`

D

`3A`

Text Solution

Verified by Experts

The correct Answer is:
B
Here `A^(2)=A^(2) + A^(2) -2A^(2)costheta`
`:. Costheta=-1/2`. Also `R^(2)=A^(2) + A^(2) - 2A^(2)costheta`
Substituting for `costheta.R=sqrt(3)A`
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