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Find the shortest distance between the t...

Find the shortest distance between the two lines whose vector equations are :
`vec(r)=(hat(i)+2hat(j)+3hat(k))+t(2hat(i)+3hat(j)+4hat(k)),`
`vec(r)=(2hat(i)+4hat(j)+5hat(k))+s(3hat(i)+4hat(j)+5hat(k))`

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Verified by Experts

The correct Answer is:
`(1)/(sqrt(6))` units
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CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
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  2. A(1,0,4), B(0,-11,3), C(2,-3,1) are three points and D is the foot of ...

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  3. Find the length of the perpendicular drawn from the point (5,4,-1) to ...

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  4. Let l(1),m(1),n(1),l(2),m(2),n(2)" and "l(3),m(3),n(3) be the durectio...

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  5. Find the equation of the perpendicular drawn from the point P(-1,3,2) ...

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  6. Find the equation of the line passing through the points A(0,6,-9) and...

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  7. The shortest distance between the lines vec(r)=vec(a)+tvec(b) and vec(...

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  8. The shortest distance between the lines vec(r)=vec(a)(1)+tvec(b)(1) an...

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  9. The condition for intersecting the lines vec(r)=vec(a)(1)+tvec(b)(1) a...

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  10. The condition for collinearity for the two parallel lines vec(r)=vec(a...

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  11. The lines vec(r)=hat(i)+t(5hat(i)+2hat(j)+hat(k)) and vec(r)=hat(i)+s(...

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  12. The shortest distance (in units) between the lines vec(r)=(hat(i)+2hat...

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  13. Find the shortest distance between the two lines whose vector equation...

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  14. Find the shortest distance between the two lines whose vector equation...

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  15. Find the shortest distance between the two lines whose vector equation...

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  16. Find the shortest distance distance between the following lines : (x...

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  17. Find the shortest distance distance between the following lines : (x...

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  18. Write the vector equation of the following lines and hence determine t...

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  19. Find the shortest distance between the following pairs of parallel lin...

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  20. Find the shortest distance between the following pairs of parallel lin...

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