1.

Write thevectorequationsof each ofthe followinglinesand hencedeterminethe distance betweenthem: (x-1)/(2)=(y-2)/(3)=(z+4)/(6)" and" (x-3)/(4) =(y-3)/(6)=(z+5)/(12)

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Solution :Thegiven lines are`L_(1) : vec( r) =(hat(i) +2HAT(j)-4hat(K)) + lambda (2hat(i) +3hat(j) +6hat(k))`
`L_(2) : vec(r ) =(3hat(i) + 3hat(j) -5hat(k))+ 2mu (2hat(i) +3hat(j) +6hat(k))`
Now FIND thedistancebetweenthe PARALLELLINES `L_(1)" and" L_(2)`


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