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AB=3ˆiˆj+ˆkandCD=3ˆi+2ˆj+4ˆk are two vectors. The position vectors of the points A and C are 6ˆi+7ˆj+4ˆkand9ˆj+2ˆk, respectively.Find the position vector of a point P on the line AB and a point Q on the line CD such that PQ is perpendicular to ABandCD both.

P(3ˆi+8ˆj+3ˆk)andQ(3ˆi7ˆj+6ˆk)P(2ˆi+8ˆj+3ˆk)andQ(2ˆi7ˆj+6ˆk)P(3ˆi+7ˆj+3ˆk)andQ(3ˆi+7ˆj+6ˆk)P(3ˆi+8ˆj3ˆk)andQ(3ˆi7ˆj+6ˆk)

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