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Given a parallelogram ABCD. If |vec(AB)|...

Given a parallelogram `ABCD`. If `|vec(AB)|=a, |vec(AD)| = b & |vec(AC)| = c` , then ` vec(DB) . vec(AB)` has the value

A

`(3a^(2)+b^(2)-c^(2))/(2)`

B

`(a^(2)+3b^(2)-c^(2))/(2)`

C

`(a^(2)-b^(2)+3c^(2))/(2)`

D

None of these

Text Solution

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The correct Answer is:
A
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