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If `veca,vecb,vecc ` are perpendicular to `vecb+vecc,vecc+veca and veca+vecb` respectively and if `|veca+vecb|=6,|vecb+vecc|=8 and |vecc+veca|=10,then |veca+vecb+vecc|` (A) `5sqrt(2)` (B) 50 (C) `10sqrt(2)` (D) 10

A

`5sqrt5`

B

50

C

`10sqrt2`

D

10

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The correct Answer is:
D
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