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Let triangle PQR be a triangle. Let vec...

Let `triangle PQR` be a triangle. Let ` veca = vec(QR) , vecb = vec(RP) and vecc= vec(PQ) . " if " |veca| = 12, |vecb| = 4sqrt3 and vecb , vecc = 24` , then which of the following is ( are ) true ?

A

`(|vec c|^2)/(2) - |vec a| = 12`

B

` (|vec c|^2)/(2) + |vec a| = 30`

C

`|vec a xx vec b + vec c xx vec a| = 48 sqrt3`

D

`veca. vecb = -72`

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The correct Answer is:
B
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