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Find the angle between the following pai...

Find the angle between the following pairs of lines :
`x/2=y/2=z/1 " and " (z-5)/4=(y-2)/1=(z-3)/8`.

Text Solution

Verified by Experts

The correct Answer is:
`cos^(-1)(26/(9sqrt(38)))`
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Find the angle between the following pairs of lines : (x-2)/2=(y-1)/5=(z+3)/(-3) " and " (x+2)/(-1)=(y-4)/8=(z-5)/4 .

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SUBHASH PUBLICATION-THREE DIMENSIONAL GEOMETRY-THREE MARKS QUESTIONS WITH ANSWERS
  1. Find the shortest distance between the lines. r=(hat(i)+2hat(j)+hat(...

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  2. Find the shortest distance between the lines. (x+1)/7=(y+1)/(-6)=(z+...

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  3. Find the angle between the following pairs of lines : vec(r)=3hat(i)...

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  4. Find the angle between the following pairs of lines : r=2hat(i)-5hat...

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  5. Find the angle between the following pairs of lines : r=3hat(i)+hat(...

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  6. Find the angle between the following pairs of lines : (x-2)/2=(y-1)...

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  7. Find the angle between the following pairs of lines : x/2=y/2=z/1 " ...

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  8. Find the distance between the parallel lines vec(r)=hat(i)+2hat(j)-4ha...

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  9. Find the angle between the planes whose vector equations are vec(r)*...

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  10. Find the angle between the planes whose vector equations are 3x-6y+2...

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  11. Find the angle between the line (x+1)/2=y/3=(z-3)/6 and the plane 10x+...

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  12. In the following cases, find the coordinates of the foot of the perpen...

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  13. In the following cases, find the coordinates of the foot of the perpen...

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  14. In the following cases, find the coordinates of the foot of the perpen...

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  15. In the following cases, find the coordinates of the foot of the perpen...

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  16. Find the vector and Cartesian equations of the planes. That passes t...

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  17. Find the vector and Cartesian equations of the planes. That passes t...

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  18. Find the equation of the planes that passes through the sets of three ...

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  19. Find the equation of the planes that passes through the sets of three ...

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