Manipal Entrance Test 2018 Math Paper

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Question : 2 of 70
 
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A parallelogram is constructed on the vectors
→
a
=3α−β
,
→
b
=α+3β.
If |α|=|β|=2 and the angle between α and β is
Ï€
3
,
then length of a diagonal of the parallelogram is
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