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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

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

B

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

C

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

D

`veca.vecb=-72`

Text Solution

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The correct Answer is:
A, C, D
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