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vec A B=3 hat i- hat j+ hat ka n d vec C...

` vec A B=3 hat i- hat j+ hat ka n d vec C D=-3 hat i+2 hat j+4 hat k` are two vectors. The position vectors of the points `Aa n dC` are `=6 hat i+7 hat j+4 hat ka n d=-9 hat j+2 hat k` respectively. Find the position vector of a point `P` on the line `A B` and a point `Q` on the line `C D` such that ` vec P Q` is perpendicular to ` vec A Ba n d vec C B` both.

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