Question 28

Q26Long answer

AB = 3iˆ – ˆj + kˆ and CD = − 3iˆ + 2 ˆj + 4kˆ are two vectors. The position vectors of the points A and C are 6iˆ + 7 ˆj + 4kˆ and – 9 ˆj + 2kˆ , 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 AB and CD both.