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Q.

The distance of the point B with position vector i+2j+3k from the line passing through the point A with position vector 4i+2j+2k and parallel to the vector 2i+3j+6k is

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a

10

b

5

c

6

d

12

answer is A.

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Detailed Solution

Question Image

eq of line  r=4i+2j+2k+t(2i+3j+6k) point  B(i+2j+3k) AB=(-3-2t, -3t, 1-6t) line AB, given line  ler  -6-4t-9t+6-36t=0  t=0 A(4, 2, 2)  B(1, 2, 3) AB=9+0+1=10

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