1.

Determine the shortest distance between the following lines and conclude whether they intersect or not (i) vec(r)=(hat(i)-hat(j))+t(2hat(i)+hat(k)),vec(r)=(2hat(i)-hat(j))+s(hat(i)-hat(j)-hat(k)) (ii) (x-1)/(2)=(y+1)/(3)=(z-0)/(1),(x+1)/(5)=(y-2)/(1),z=2

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ANSWER :(i) `(1)/(sqrt(14))` UNITS. (II) `=(9)/(sqrt(1+25+169))=(9)/(sqrt(195))`


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