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Let PQR be a triangle . Let veca=overlin...

Let `PQR` be a triangle . Let `veca=overline(QR),vecb = overline(RP) and vecc= overline(PQ).if |veca|=12, |vecb|=4sqrt3and vecb.vecc= 24` then which of the following is (are) true ?

A

`(|vecc|^(2))/2 -|veca|=12`

B

`|vecc|^(2)/2 + |veca|=30`

C

`|veca xx vecb + vecc xx veca| = 48sqrt(3)`

D

`veca.vecb=-72`

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The correct Answer is:
A, C, D
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