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Let O be the origin and vec(OA)=2hati+2h...

Let O be the origin and `vec(OA)=2hati+2hatj+hatk , vec(OB)=hati-2hatj+2hatk and vec(OC)=1/2(vec(OB) - lamda vec(OA))` for same `lamda gt 0 . If abs(vec(OB)xxvec(OC))=9/2` , then which of the following is(are) TRUE ?

A

Projection of `vec(OC) on vec(OA)` is `-3/2`

B

Area of triangle OAB is `9/2`

C

Area of triangle ABC is `9/2`

D

The acute angle between the diagonals of the parallelogram with adjacent sides `vect(OA) and vec(OC) is pi/3`

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