Q1 of 112 Page 1143

Find the shortest distance between the given lines.



Given equations :




To Find : d


Formula :


1. Cross Product :


If are two vectors




then,



2. Dot Product :


If are two vectors




then,



3. Shortest distance between two lines :


The shortest distance between the skew lines and


is given by,



Answer :


For given lines,




Here,






Therefore,










Now,




= 3 + 0 + 7


= 10


Therefore, the shortest distance between the given lines is




More from this chapter

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12

Find the angle between two lines whose direction ratios are

i. 2, 1, 2 and 4, 8, 1


ii. 5, -12, 13 and -3, 4, 5


iii. 1, 1, 2 and


iv. a, b, c and (b – c), (c – a), (a – b)


 13

If A(1, 2, 3), B(4, 5, 7), C(-4, 3, -6) and D(2, 9, 2) are four given points then find the angle between the lines AB and CD.

 2

Find the shortest distance between the given lines.



 3

Find the shortest distance between the given lines.