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Find the angle between the lines x/2=y/2...

Find the angle between the lines `x/2=y/2=z/1` and `[x-5]/4=[y-2]/1=[z-3]/8`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the angle between the following pair of lines: vecr = 3hati+hatj-...

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  2. Find the angle between the following pairs of lines : (x-2)/2=(y-1)/5=...

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  3. 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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  4. Find the value of p so that the lines : l1:(1-x)/3=(7y-14)/(2p)=(z-3)/...

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

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

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

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  9. Find the shortest distance between the following lines whose vector eq...

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

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

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  12. In each of the following cases, determine the direction cosines of the...

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

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

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  15. Find the cartesian equations of the following planes: vecr*(4hati+8hat...

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  16. Find the cartesian equations of the following planes: vecr*(2hati+3hat...

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  17. Find the cartesian equations of the following planes:⃗ r ⋅ [ ( s − 2 t...

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  18. In the following case, find the coordinates of the foot of the perpend...

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  19. In the following case, find the coordinates of the foot of the perpend...

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  20. In the following cases, find the co-ordinates of the foot of the perpe...

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