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It is given that a,b,c are vectors of le...

It is given that a,b,c are vectors of lengths 6,8,10 respectively. If a is perpendicular to `(b+c), b` is perpendicular`(c+a)`, and c is perpendicular to `(a+b)`, then the length of the vector of |`a+b+c`| is

A

`6sqrt2`

B

`12 sqrt2`

C

`5sqrt2`

D

`10sqrt2`

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The correct Answer is:
D
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