Home
Class 12
MATHS
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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

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

The direction cosines of the lines bisecting the angle between the line whose direction cosines are l_1, m_1, n_1 and l_2, m_2, n_2 and the angle between these lines is theta , are

Find the direction cosines of the lines, connected by the relations: l+m+n=0 and 2l m+2ln-m n=0.

Find the direction cosines of the lines, connected by the relations: l+m+n=0 and 2l m+2ln-m n=0.

The direction cosines of two lines satisfying the conditions l + m + n = 0 and 3lm - 5mn + 2nl = 0 where l, m, n are the direction cosines. Angle between the lines is

The direction cosines of two lines are connected by relation l+m+n=0 and 4l is the harmonic mean between m and n. Then,

The direction cosines l, m and n of two lines are connected by the relations l+m+n=0 and lm=0 , then the angle between the lines is

The direction cosines of two lines are given by the equations 3m+n+5l=0, 6nl-2lm+5mn=0. find the angle between them

If l_1, m_1, n_2 ; l_2, m_2, n_2, be the direction cosines of two concurrent lines, then direction cosines of the line bisecting the angles between them are proportional to

The direction cosines of two lines satisfy 2l+2m-n=0 and lm+mn+nl=0 . The angle between these lines is

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. A variable plane passes through a fixed point (alpha,beta,gamma) an...

    Text Solution

    |

  2. Show that the straight lines whose direction cosines are given by the ...

    Text Solution

    |

  3. The perpendicular distance of a corner of uni cube from a diagonal not...

    Text Solution

    |

  4. If the direction cosines of a variable line in two adjacent points be ...

    Text Solution

    |

  5. the image of the point (-1,3,4) in the plane x-2y=0 a.(-(17)/(3),(19)/...

    Text Solution

    |

  6. The ratio in which the plane vec rdot (vec i-2 vec j+3 vec k )=17 d...

    Text Solution

    |

  7. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  8. The distance between the line vec r=2 hat i-2 hat j+3 hat k+lambda...

    Text Solution

    |

  9. If angle theta bertween the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane...

    Text Solution

    |

  10. The length of the perpendicular drawn from (1,2,3) to the line (x-6...

    Text Solution

    |

  11. A plane makes intercepts O A ,O Ba n dO C whose measurements are a,b ...

    Text Solution

    |

  12. The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+...

    Text Solution

    |

  13. The shortest distance from the plane 12 x+4y+3z=327 to the sphere ...

    Text Solution

    |

  14. A line makes an angel theta with each of the x-and z-axes. If the ...

    Text Solution

    |

  15. Find the equation of a straight line in the plane vec r* vec n=d ...

    Text Solution

    |

  16. What is the nature of the intersection of the set of planes x+a y+(b...

    Text Solution

    |

  17. Let P1 denote the equation of a plane to which the vector ( hat i+...

    Text Solution

    |

  18. Let P M be the perpendicular from the point P(1,2,3) to the x-y pla...

    Text Solution

    |

  19. If the plane x/2+y/3+z/6=1 cuts the axes of coordinates at points, A ,...

    Text Solution

    |

  20. For what value (s) of a will the two points (1,a,1) and (-3,0,a) lie ...

    Text Solution

    |