1.

Find the vectorequtionsof a linepassingthroughthe point(2,3,2)andparallelto theline vec(r )=(-2hat(i)+3hat(j) ) + lambda (2hat(i) - 3hat(j) + 6hat(k))Alsofind thedistancebetweentheselines .

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Solution : The givenline is`L_(1) : vec(r ) =(-2hat(i) +3hat(j)) + lambda (2hat(i) -3hat(j) +6hat(k))`
Therequired line is `L_(2) :vec( r)=(2hat(i) +3hat(j) +2hat(k))+ MU (2hat(i)-3hat(j) +6hat(k))`
Now, FIND thedistancebetweenthe PARALLELLINES `L_(1)" and" L_(2)`.


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