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Position vectors of two points A and C r...

Position vectors of two points A and C re `9veci-vecj+7veci-2vecj+7veck` respectively THE point intersection of vectors `vec(AB)=4veci-vecj+3veck and vec(CD)=2veci-vecj+2veck` is P. If vector `vec(PQ)` is perpendicular to `vec(AB) and vec(CD)` and PQ=15 units find the position vector of Q.

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