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Find the shortest distance between the line `vec(r)=hat(i)-7hat(j)-2hat(k)+lamda(hat(i)+3hat(j)+2hat(k))` and `vec(r)=3hat(i)+4hat(j)-2hat(k)+mu(-hat(i)+2hat(j)+hat(k))`.

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The correct Answer is:
`sqrt(35)`
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Find the shortest distance between the following lines vec(r)=hat(i)-hat(j)-hat(k)+lamda(hat(i)+hat(j)-hat(k)) and vec(r)=3hat(i)-hat(j)-2hat(k)+mu(-hat(i)+2hat(j)+hat(k))

Find the shortest distance between the following lines vec(r)=hat(i)+hat(j)-2hat(k)+lamda(hat(i)+hat(j)+hat(k)) and vec(r)=hat(i)+hat(j)+hat(k)+mu(hat(i)+hat(j)+hat(k))

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Find the shortest distance between the lines vec(r)=(hat(i)+2hat(j)+hat(k))+lamda(hat(i)-hat(j)+hat(k)) and vec(r)=2hat(i)-hat(j)-hat(k)+mu(3hat(i)-hat(j)+hat(k))

Find the shortest distance between the following lines vec(r)=-hat(i)+2hat(j)-hat(k)+lamda(hat(i)+hat(j)-hat(k)) and vec(r)=hat(i)-hat(j)+2hat(k)+mu(-hat(i)+hat(j)+hat(k)) .

Find the shortest distance between the lines vec(r)=4hat(i)-3hat(j)+lamda(hat(i)+2hat(j)-2hat(k)) and vec(r)=hat(i)+hat(j)-hat(k)-mu(2hat(i)+4hat(j)-4hat(k))

Find the shortest distance between the lines vec(r)=(4hat(i)-hat(j))+lamda(hat(i)+4hat(j)-3hat(k)) and vec(r)=(hat(i)-hat(j)+2hat(k))+mu(2hat(i)+3hat(j)-2hat(k))

Find the shortest distance between the lines vec(r)=hat(i)+hat(j)+lamda(2hat(i)-hat(j)+hat(k)) and vec(r)=2hat(i)+hat(j)-hat(k)+mu(3hat(i)-5hat(j)+2hat(k))

Find the shortest distance between the following lines vec(r)=hat(i)+hat(j)+lamda(hat(i)-hat(j)+hat(k)) and vec(r)=2hat(i)+hat(j)-hat(k)+mu(3hat(i)-4hat(j)+hat(k))

BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
  1. Find the equation of the straight line through the point (1,-3,2) and ...

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  2. Find the equation of the straight line passing through the point (2,3,...

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  3. Find the shortest distance between the line vec(r)=hat(i)-7hat(j)-2hat...

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  4. Find the equation of the plane through the point (1,1,1), parallel to ...

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  5. Find the distance between the point with position vector -hat(i)-5hat(...

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  6. Show that the two lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z ...

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  7. Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5...

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  8. Find the foot of perpendicular drawn from origin to the plane 2x+3y+4z...

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  9. Find the vector equation of the line passing through (1, 2, 3) and per...

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  10. Find the equation of the plane passing through (a, b, c) and parallel ...

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  11. Find the shortest distance between the lines whose vector equations ar...

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  12. Find the shortest distance between the lines whose vector equations ar...

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  13. Find the shortest distance between the lines whose vector equations ar...

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  14. Find the equation of the plane through the points (0,-1,0),(2,1,-1) an...

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  15. Find the equation of the plane passing through the points (0,-1,0),(1,...

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  16. Find the equation of the plane passing through the points (2,2,1), (9,...

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  17. Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4an...

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  18. Find the shortest distance between the lines vec(r)=hat(i)+hat(j)+la...

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  19. Find the coordinate of the point where the line through the points A(3...

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  20. Find the coordinate of the point where the line through the points A(3...

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