A) 4
B) 5
C) 6
D) 7
Correct Answer: D
Solution :
[d] Let P be the point (1, 2, 3) and PN be the length of the perpendicular form P on the given line. Coordinates of point N are\[(3\lambda +6,2\lambda +7,-2\lambda +7)\]. Now PN is perpendicular to the given line or vector \[3\hat{i}+2\hat{j}-2\hat{k}.\] Thus, \[3(3\lambda +6-1)+2(2\lambda +7-2)-2(-2\lambda +7-3)=0\] Or \[\lambda =-1\] Then, point N is (3, 5, 9) \[\Rightarrow PN=7\]
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