Questions
The direction cosines of the line of intersection of two planes are
a
⟨3,1,−2⟩
b
⟨314,114,-214⟩
c
⟨1,0,1⟩
d
⟨0,1,0⟩
detailed solution
Correct option is B
The direction ratios of line of intersection of two planes are proportional to the vector which is perpendicular to both normal vectors of the planesThe given planes are x−y+z−5=0,x−3y−6=0Its normal vectors are i−j+k,i−3jvector perpendicular to both the vectors is ijk1−111−30=i(3)−j(−1)+k(−2)=3i−j−2kThe line of intersection of two planes having direction ratios ⟨3,−1,−2⟩ and its direction cosines are ⟨314,−114,−214⟩Talk to our academic expert!
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