The foot of the perpendicular from the point (1, 2, 3) on the line r =(6 i +7 j +7 k )+ (3 i +2 j -2 k ) has the co-ordinates

MHT CET 2023 Mathematics question

The foot of the perpendicular from the point (1, 2, 3) on the line has the co-ordinates

Answer: (A)

A general point of the line: . The vector from to is . For the foot of the perpendicular this must be perpendicular to the direction :

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Question ID VK-097931