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Find the angle between the following pai...

Find the angle between the following pairs of lines: ` -> r=lambda( hat i+ hat j+2 hat k)\ a n d\ -> r=2 hat j+mu[(sqrt(3)-1) hat i-(sqrt(3)+1) hat j+4 hat k]dot`

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Find the angle between the following pairs of lines:(i) -> r=2 hat i-5 hat j+ hat k+lambda(3 hat i+2 hat j+6 hat k) and -> r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k) (ii) -> r=3 hat i+ hat j-2 hat k+lambda( hat i- hat j-2 hat k) and -

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Find the shortest distance between the lines: vec r=6 hat i+2 hat j+2 hat k+lambda( hat i-2 hat j+2 hat k)a n d\ vec r=-4 hat i- hat k+mu(3 hat i-2 hat j-2 hat k)dot

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Find the angle between the following pairs of lines: -> r=(4 hat i- h...

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  2. Find the angle between the following pairs of lines: -> r=(3 hat i+2 ...

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  3. Find the angle between the following pairs of lines: -> r=lambda( hat...

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  4. Find the angle between the following pairs of line: (x+4)/3=(y-1)/5=(z...

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

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

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  7. Find the angle between the following pairs of line: (x-2)/3=(y+3)/(-2)...

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  8. Find the angle between the following pairs of line: (x-5)/1=(2y+6)/(-2...

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  9. Find the angle between the following pairs of line: (-x+2)/(-2)=(y-1)/...

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  10. Find the angle between the pairs of lines with direction ratio prop...

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  11. Find the angle between the pairs of lines with direction ratio prop...

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  12. Find the angle between the pairs of lines with direction ratio prop...

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  13. Find the angle between the pairs of lines with direction ratio prop...

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  14. Find the angle between two lines, one of which was direction ratios 2,...

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  15. Find the equations of the line passing through the point (-1, 2,1 ) an...

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  16. Find the equation of the line passing through the point (2, 1, 3) and ...

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

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  18. Determine the equations of the line passing through the point (1, 2, -...

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  19. If the coordinates of the points A ,\ B ,\ C ,\ D\ b e\ (1,\ 2,\ 3),\ ...

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  20. Find the direction cosines of the line (x+2)/2=(2y-7)/6=(1-z)/(-3) . A...

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