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Find the acute angle between the two str...

Find the acute angle between the two straight lines whose direction cosines are given by `l+m+n=0` and `l^2+m^2-n^2=0`

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To find the acute angle between the two straight lines whose direction cosines are given by the equations \( l + m + n = 0 \) and \( l^2 + m^2 - n^2 = 0 \), we can follow these steps: ### Step 1: Express \( n \) in terms of \( l \) and \( m \) From the first equation, we can express \( n \): \[ n = -l - m \] ...
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NCERT EXEMPLAR ENGLISH-THREE DIMENSIONAL GEOMETRY-LONG ANSWER TYPE QUESTIONS
  1. Find the acute angle between the two straight lines whose direction co...

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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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