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Q.

Let u=i+j,v=i-j,w=i+2j+3k. If n is a unit vector such that u,n=0 and v,n=0, then w.n=

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a

3

b

1

c

0

d

2

answer is A.

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Detailed Solution

Un & Vn    11 U×V U×V=ijk1101-10=i(0)-j(0)+k(-2) n=λ(-2k)  n=λ2  λ=12 n=-k      w·n=-3=3

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