Questions  

The distance between the parallel lines r¯=2i¯+3j¯k¯+λ(i¯j¯+2k¯) and r¯=3i¯+4j¯+k¯+μ(i¯j¯+2k¯) is

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By Expert Faculty of Sri Chaitanya
ctaimg
a
2223
b
1756
c
146
d
7
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detailed solution

Correct option is A

a¯1=2i¯+3j¯−k¯, a¯2=−3i¯+4j¯+k¯, b¯=i¯−j¯+2k¯, a¯1−a¯2=5i¯−j¯−2k¯b¯×(a¯1−a¯2)=i¯j¯k¯1−125−1−2=4i¯+12j¯+4k¯|b¯×(a¯1−a¯2)|=176, |b¯|=6Distance = |b¯×(a¯1−a¯2)||b¯|=1766=2223


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