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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`

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

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

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

Find the shortest distance between the lines (x+1)/7=(y+1)/-6=(z+1)/1 and (x-3)/1=(y-5)/-2=(z-7)/1

Consider the pair of lines whose equations are . (x-2)/2=(y-1)/5=(z+3)/-3 and (x+1)/-1=(y-4)/8=(z-5)/4 Find the angle between these two lines.

Consider the pair of lines whose equations are . (x-2)/2=(y-1)/5=(z+3)/-3 and (x+1)/-1=(y-4)/8=(z-5)/4 Write the direction ratios of the lines.

Consider the pair of lines whose equations are . (x-2)/2=(y-1)/5=(z+3)/-3 and (x+1)/-1=(y-4)/8=(z-5)/4 Find the shortest distance between the above skew lines.

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The Cartesian equation of a line is (x+3)/2=(y-5)/4=(z+6)/2. Find th...

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  2. Find the angle between the pair of lines given by barr=3 hati+2 hatj...

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

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  4. Find the shortest distance between the lines l1 and l2 barr=hati+hatj+...

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  5. Find the distance between the lines l1 and l2, given by barr=hati+2 h...

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  6. Show that the three lines with direction cosines (12)/(13),(-3)/(13),(...

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  7. Show that the line through the points (1, -1, 2) and (3, 4,-2) is p...

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  8. Show that the line through the points (4, 7, 8), (2, 3, 4)is parallel...

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  9. The equation of the line which passes through the point (1,2,3) and pa...

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  10. Find the equation of the line in vector and in cartesian form that pas...

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  11. Find the Cartesian equation of the line with passes through the point ...

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  12. The Cartesian equations of a line are (x-5)/3=(y+4)/7=(z-6)/2dot Find ...

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  13. Find the Cartesian equation of the line passing through origin and (5,...

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

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  15. Find the angle between the following pairs of lines: i) vecr=2 hati-5...

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  16. Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+...

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

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

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  19. Find the shortest distance between the skew lines ⃗ r = ( ⃗ i + 2 ⃗ j...

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

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