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Find the angle between the following pai...

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

Find the angle between the followig pair of lines : (-x+2)/-2=(y-1)/7=(z+3)/-3 and (x+2)/-1=(2y-8)/4=(z-5)/4 and check whether the lines are parallel or perpendicuar.

Find the angle between the pair of lines (x-2)/2=(y-1)/5=(z+3)/(-3) and (x+2)/(-1)=(y-4)/8=(z-5)/4

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

Find the angle between the following pairs of lines : (5-x)/3=(y+3)/-4, z=7 and x=(1-y)/2=(z-6)/2

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

Find the angles between each of the following pairs of lines: (x-2)/3=(y+1)/-2,z=2 , (x-1)/1=(y+3)/3=(z+5)/2 .

Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4 and (x+1)/1 = (y-4)/1 = (z-5)/2

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the angle between the following pair of lines: vecr = 2hati-5hatj...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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 case, find the coordinates of the foot of the perpend...

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