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Let L be the line parallel to the vector...

Let L be the line parallel to the vectors `sqrt(2) hati - 5 hatj + 3 hatk ` and passing through the point a given by `hati + 2 hatj - 3 hatk` . If the distance between A and a point P on the line L is 18 units , then the position vector of such a point P is

A

`(1- 3 sqrt2) hati + 17 hatj- 12 hatk`

B

`(1+ 3 sqrt2)hati + 17 hatj + 12 hatk`

C

`(1+3sqrt2) hati - 17 hatj - 12 hatk`

D

`(1- 3 sqrt2) hati - 17 hatj + 12 hatk `

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The correct Answer is:
A
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