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Question

The distance between the plane r.(^i+5^j+^k)=5
and the line r=2^i2^j+3^k+λ(^i^j+4^k) is

A
103
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B
1023
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C
1033
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D
103
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Solution

The correct option is C 1033

Observe that (i+5j+k).(ij+4k)=0
Line is to the plane
required distance = distance from (2,2,3) to the plane x+5y+z=5 is
=|210+35|1+25+1=1033


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