Q. 15 3.9( 24 Votes )

Find the shortest distance between the lines


Answer :

We know that

Shortest distance between the lines:


and is


…(i)


The standard form of a pair of Cartesian lines is:


and


And the given equations are: and


Comparing the given equations with the standard form, we get


x1 = -1, y1 = -1, z1 = -1; x2 = 3, y2 = 5, z2 = 7


a1 = 7, b1 = -6, c1 = 1; a2 = 1, b2 = -2, c2 = 1


Now, consider








Next, consider






From (i), we have



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