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Let `a, b and c` be distinct non-negative numbers. If vectos `a hati +a hatj +chatk, hati + hatk and chati +chatj+bhatk` are coplanar, then c is

A

`(2)/(1/a +1/b)`

B

` (a+b)/(2)`

C

`(1)/(a) +(1)/(b)`

D

`sqrt(ab)`

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