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If the direction cosines of a variable l...

If the direction cosines of a variable line in two adjacent points be `l, M, n and l+deltal,m+deltam+n+deltan` the small angle `deltatheta`as between the two positions is given by

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To find the small angle \( \delta \theta \) between two positions of a variable line with direction cosines \( l, m, n \) and \( l + \delta l, m + \delta m, n + \delta n \), we can follow these steps: ### Step 1: Understand the Properties of Direction Cosines The direction cosines of a line are defined such that: \[ l^2 + m^2 + n^2 = 1 \] This equation holds for any direction cosines. ...
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If a variable line in two adjacent positions has direction cosins l ,m ,n and I+deltal ,m+deltam m ,n+deltan , show that he small angel deltatheta between two positions is given by (deltatheta)^2=(deltal)^2+(deltam)^2+(deltan)^2

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NCERT EXEMPLAR ENGLISH-THREE DIMENSIONAL GEOMETRY-LONG ANSWER TYPE QUESTIONS
  1. If the direction cosines of a variable line in two adjacent points be ...

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  2. Find the foot of the perpendicular from the point (2,3,-8) to the line...

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  3. Find the equation of the perpendicular drawn from (2,4,-1) to the line...

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  4. Find the length and the foot of perpendicular from the point (1,3//...

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  5. Find the equations of the line passing through the point (3,0,1) paral...

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  6. Find the shortest distance between the lines gives by vecr=(8+3lamda...

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  7. Find the equation of the plane which is perpendicular to the plane ...

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  8. The plane ax + by = 0 is rotated about its line of intersection with ...

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  9. Find the equation of the plane through the points (2, 1, 1) and (1, ...

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  10. Find the foot of perpendicular from the point (2,3,-8) to the line. ...

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  11. Find the distance of a point (2,4,-1) from the line (x+5)/1=(y+3)/4=...

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  12. Find the length and the foot of perpendicular from the point (1,3//...

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  13. Find the equations of the line passing through the point (3,0,1) paral...

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  14. Find the shortest distance between the lines gives by vecr=(8+3lamda...

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  15. Find the equation of the plane which is perpendicular to the plane ...

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  16. The plane ax + by = 0 is rotated about its line of intersection with ...

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  17. Find the equation of the plane through the points (2, 1, 1) and (1, ...

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