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MathematicsVectorVector equation of a line, Vector equation of the angle bisectorsMedium2 minPYQ_2022
MathematicsMediumnumerical

Letl1be the line inxy-plane withxandyintercepts18and142respectively, andl2be the line inzx-plane withxandzintercepts-18and-163respectively. Ifdis the shortest distance between the linel1andl2, thend-2is equal to _____.

Answer:
51.00
Solution:

Given,

Line L1:x-1818=y-142=z0

or x-181=y-2=z0    ...1

Equation of L2:x+18-63=y0=z8

Shortest distance between two lines is given by,

d=c-a·b×db×d=14i^·42i^+4j^+36k^422+42+362

=232+16+54=151

  d-2=51

Stream:JEESubject:MathematicsTopic:VectorSubtopic:Vector equation of a line, Vector equation of the angle bisectors
2mℹ️ Source: PYQ_2022

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