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Let a=hati + hatj + sqrt(2)hatk, b=b(1)h...

Let `a=hati + hatj + sqrt(2)hatk, b=b_(1)hati + b_(2)hatj + sqrt(2)hatk` and `vecc = 5hati + hatj +sqrt(2)hatk` be three vectors such that the projection vector of b on a is |a| . If `a+b` is perpendicular to c, then |b| is equal to:

A

6

B

4

C

`sqrt(22)`

D

`sqrt(32)`

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The correct Answer is:
A
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