Q6 of 136 Page 28

Write the vector equations of the following lines and hence determine the distance between them

and

Given data:


Pair of lines:



To find the shortest distance between these two lines


We need to write this in vector form


Line I:




Line II:






Here the lines are parallel as can be seen from above vector equation




Since lines are parallel therefore they have common normal





The shortest distance between lines is










Putting these values in the expression,





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Find the shortest distance between the following pairs of parallel lines whose equations are :

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Find the equations of the lines joining the following pairs of vertices and then find the shortest distance between the lines

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Find the shortest distance between the lines

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Find the shortest distance between the lines

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