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Question

Let a=i+j+1^k,b=b1^i+b1^j+2^k and c=5^i+^j+2^k be three vectors such that the projection vector of b on a is a. If a+b is perpendicular to c, the |b| is equal to :

A
22
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B
4
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C
32
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D
6
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Solution

The correct option is D 6
Projection of b on a=a.b|b|=|a|b1+b2=2.......(1)and (a+b)c(a+b.c)=05b1+b2=10......(2)from (1) and (2) b1=3 and b2=5 then |b|=b21+b22+2=6

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