Extend a segment and use two vectors based at the angle vertex

Relative to O, A,B,C have position vectors $7\mathbf i+6\mathbf j-\mathbf k$, $-11\mathbf i-3\mathbf j+26\mathbf k$, and $4\mathbf i+\mathbf j+7\mathbf k$. P lies on BA produced such that 3AB=PB.

(i) Find the position vector of P.2 marks

(ii) Find angle ABC.3 marks

(iii) Find the exact area of triangle ABC.3 marks