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Let A=(1,1,-1),B=(0,2,1) be two given po...

Let `A=(1,1,-1),B=(0,2,1)` be two given points. Also, let P:`x+y+z=0` be a plane.
If `A^(')` and `B^(')` are the feet of perpendicular from A and B, respectively, on the plane 'P' then `A^(')B^(')` equals

A

`sqrt(14)/3`

B

`sqrt(5/3)`

C

`sqrt(3)`

D

`sqrt(2/3)`

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The correct Answer is:
A
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