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If |A|=2 and |B|=4 and angle between the...

If |A|=2 and |B|=4 and angle between then is `60^(@)` then |A-B|

A

`sqrt(13)`

B

`3sqrt(3)`

C

`sqrt(3)`

D

`2sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
(d ) `|A-B|=sqrt(A^(2)+B^(2)-2AB costheta)`
`=sqrt(4+16-2xx2xx4xx(1)/(2))`
`=sqrt(12)=2sqrt(3)`
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