Home
Class 12
MATHS
Find the angle between the lines vec r=...

Find the angle between the lines ` vec r= dot( hat i+2 hat j- hat k)+lambda( hat i- hat j+ hat k)` and the plane ` vec r = dot(2 hat i- hat j+ hat k)=4.`

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

Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+lambda( hat i- hat j+ hat k) and the plane vec r.(2 hat i- hat j+ hat k)=4.

Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lambda (3 hat i-hat j+2 hat k ) and the plane vec r.(hat i + hat j + hat k)=3

The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambda( hat i- hat j+4 hat k) and plane vec rdot( hat i+5 hat j+ hat k)=5.

Find the angle between the line -> r=(2 hat i+3 hat j+9 hat k)+lambda(2 hat i+3 hat j+4 hat k) and the plane -> r(dot( hat i+ hat j+ hat k))=5.

Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda( hat i+2 hat j+2 hat k) a n d vec r=(5 hat j-2 hat k)+mu(3 hat i+2 hat j+6 hat k)dot

Find the angle between the lines vec r=(2 hat i-5 hat j+ hat k)+lambda(3 hat i+2 hat j+6 hat k)a n d\ vec r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k)dot

Find the angle between the lines vec r=2 hat i-5 hat j+ hat k+lambda(3 hat i+2 hat j+6 hat k) and vec r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k)dot

Find the angle between the planes vec rdot(2 hat i- hat j+ hat k)=6a n d vec rdot( hat i+ hat j+2 hat k)=5.

Find the shortest distance between the lines vec r=( hat i+2 hat j+ hat k)+lambda( hat i- hat j+ hat k) and vec r=(2 hat i- hat j- hat k)+mu(2 hat i+ hat j+2 hat k)

Find the distance of the point (-1,-5,-10) from the point of intersection of line vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+2 hat k) and the plane vec r ( hat i- hat j+ hat k)=5.

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the locus of a point, the sum of squares of whose distance from t...

    Text Solution

    |

  2. Find the length and the foot of the perpendicular from the point (7...

    Text Solution

    |

  3. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

    Text Solution

    |

  4. Find the equation of the projection of the line (x-1)/(2)=(y+1)/(-1)=(...

    Text Solution

    |

  5. Find the equation the plane which contain the line of intersection ...

    Text Solution

    |

  6. Find the vector equation of the line passing through (1, 2, 3 ) and ...

    Text Solution

    |

  7. Find the distance of the point P(3,8,2) from the line 1/2(x-1)=1/4(...

    Text Solution

    |

  8. Find the distance of the point (1,0,-3) from the plane x-y-z=9 meas...

    Text Solution

    |

  9. Show that a x+b y+r=0,b y+c z+p=0a n dc z+a x+q=0 are perpendicular to...

    Text Solution

    |

  10. Reduce the equation of line x-y+2z=5a d n3x+y+z=6 in symmetrical fo...

    Text Solution

    |

  11. Find the angle between the lines x-3y-4=0,4y-z+5=0a n dx+3y-11=0,2y...

    Text Solution

    |

  12. If the line x=y=z intersect the line sin Adotx+sin Bdoty+sin Cdotz=2d^...

    Text Solution

    |

  13. The point of intersecting of the line passing through (0, 0, 1) and in...

    Text Solution

    |

  14. A horizontal plane 4x-3y+7z=0 is given. Find a line of greatest slope ...

    Text Solution

    |

  15. Find the equation of the plane passing through the points (-1,1,1) ...

    Text Solution

    |

  16. Find ten equation of the plane passing through the point (0,7,-7) and ...

    Text Solution

    |

  17. If a plane meets the equations axes at A ,Ba n dC such that the centro...

    Text Solution

    |

  18. Find the equation of the plane which is parallel to the lines vec ...

    Text Solution

    |

  19. Show that the plane whose vector equation is vec rdot( hat i+2 hat j=...

    Text Solution

    |

  20. Find the vector equation of the following planes in Cartesian form:...

    Text Solution

    |