`vecAB = 3hati - hatj + hatk` and `vec(CD) = 3hati + 2hatj + 4hatk` are two vectors. The position vectors of the points

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Q 1840634513.     `vecAB = 3hati - hatj + hatk` and `vec(CD) = 3hati + 2hatj + 4hatk` are two vectors. The position vectors of the points A and C are `6hati + 7hatj + 4hatk` and `-9hati + 2hatk`, respectively. Find the position vector of a point P on the line AB and a point O on the line CD such that `vec(PQ)` is perpendicular to `vec(AB)` and `vec(CD)` both.

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