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Question

If a=^i+2^j+3^k and b=^i2^j+^k, c=4^i3^j2^k and a+λb is perpendicular to c, then λ =

A
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Solution

The correct option is B 2
a+λb is perpendicular to c(a+λb).c=0a.c+λb.c=0
λ=a.cb.c=(^i+2^j+3^k).(4^i3^j2^k)(^i2^j+^k).(4^i3^j2^k)=4664+62=168=2

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