Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A parallelogram is constructed on vectors 
= 3 
– 
,
= 
+ 3 
if | 
| = | 
| = 2, and angle between 
and 
is 
, then length of a diagonal of parallelogram is
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c)
= 
+ 
∴ | 
| = | 
+ 
|
∴ | 
| 2 = |a| 2 + |b| 2 + 2 
. 
= (3 α – β ) 2 + ( α + 3 β ) 2 + 2(3 
– 
). ( 
+ 3 
)
= 16 α 2 + 4 β 2 +16 
. 
= 16. 4 + 4. 4 + 16| α | | β | cos 60 0
= 112
|AC| = 4 
; Similarly BD = 
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