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Find the vector and the cartesian equati...

Find the vector and the cartesian equations of the line that passes through the points (3, – 2, – 5), (3, – 2, 6).

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PSEB-THREE DIMENSIONAL GEOMETRY-Exercise
  1. The cartesian equation of a line is (x-5)/3 = (y+4)/7 = (z-6)/2. Write...

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  2. Find the vector and the cartesian equations of the lines that passes t...

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  3. Find the vector and the cartesian equations of the line that passes th...

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  4. Find the angle between the following pair of lines: vecr = 2hati-5hatj...

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  5. Find the angle between the following pair of lines: vecr = 3hati+hatj-...

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  6. Find the angle between the lines [x-2]/2=[y-1]/5=[z+3]/-3 and [x+2]/-1...

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  7. Find the angle between the lines x/2=y/2=z/1 and [x-5]/4=[y-2]/1=[z-3]...

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  8. Find the values of p so that the lines (1-x)/3 = (7y-14)/2p = (z-3)/2 ...

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

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  10. Find the shortest distance between the lines vecr = (hati + 2hatj+hatk...

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

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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. In the following case, determine the direction cosines of the normal ...

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  15. In the following case, determine the direction cosines of the normal ...

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  16. In the following case, determine the direction cosines of the normal ...

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  17. In the following case, determine the direction cosines of the normal ...

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  18. Find the vector equation of a plane which is at a distance of 7 units ...

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  19. Find the Cartesian equation of the following plane: vecr cdot (hati+ha...

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  20. Find the Cartesian equation of the following plane: vecr cdot (2hati+3...

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