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What is the magnitude of the line of shortest distance between the lines  
  • a)
    √14
  • b)
    14
  • c)
    7
  • d)
    2
Correct answer is option 'B'. Can you explain this answer?
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What is the magnitude of the line of shortest distance between the lin...
Magnitude and equations of Shortest Distance (S.D)
Here we have to find the magnitude and the equation of shorttest distance between two given lines.

*    It
By definition, the line of shortest distance between (i) and (ii) is perpendicular to both (i) and (ii). Therefore, if [λ,μ,ν] an; the d.c.’s of the line of shortest distance we have


Remark: Two lines given by (i) and (ii) will intersect, i.e. these lines will be coplanar if shortest distance between them is zero. Thus the condition for two lines to be coplanar is
 
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What is the magnitude of the line of shortest distance between the lin...
Magnitude and equations of Shortest Distance (S.D)
Here we have to find the magnitude and the equation of shorttest distance between two given lines.

*    It
By definition, the line of shortest distance between (i) and (ii) is perpendicular to both (i) and (ii). Therefore, if [λ,μ,ν] an; the d.c.’s of the line of shortest distance we have


Remark: Two lines given by (i) and (ii) will intersect, i.e. these lines will be coplanar if shortest distance between them is zero. Thus the condition for two lines to be coplanar is
 
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What is the magnitude of the line of shortest distance between the lin...
Magnitude and equations of Shortest Distance (S.D)
Here we have to find the magnitude and the equation of shorttest distance between two given lines.

*    It
By definition, the line of shortest distance between (i) and (ii) is perpendicular to both (i) and (ii). Therefore, if [λ,μ,ν] an; the d.c.’s of the line of shortest distance we have


Remark: Two lines given by (i) and (ii) will intersect, i.e. these lines will be coplanar if shortest distance between them is zero. Thus the condition for two lines to be coplanar is
 
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