Home
Class 12
MATHS
Write the vector equations of the follow...

Write the vector equations of the following lines and hence determine the distance between them `(x-1)/2=(y-2)/3=(z+4)/6a n d(x-3)/4=(y-3)/6=(z+5)/(12)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|3 Videos
  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos

Similar Questions

Explore conceptually related problems

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

The shortest distance between the lines (x-1)/2= (y-1)/3=(z+2)/6and (x-2)/4=(y+1)/1=(z-3)/7

Write the vector equations of the lines (x-1)/(2) = (y-2)/(3)=(z+4)/(6) and (x-3)/(4)=(y-3)/(6)=(z+5)/(12) .

Write the vector equation of the following line: (x-5)/3=(y+4)/7=(6-z)/2

The direction ratios of the line of shortest distance between the lines (x-2)/1=(y-3)/4=(z+1)/3 and (x-3)/2=(y-4)/3=(z-1)/2

Find the shortest distance between the lines (x+3)/(-4) =(y-6)/(3)=(z)/(2) " and " (x+2)/(-4) =(y)/(1)=(z-7)/(1)

Find the coordinates of the points where the shortest distance between the lines (x-12)/(-9)=(y-1)/4=(z-5)/2 and (x-23)/6=(y-19)/4=(z-25)/(-3) meets them.

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Find the equation of the lines joining the following pairs of vertices...

    Text Solution

    |

  2. Find the equation of the lines joining the following pairs of vertices...

    Text Solution

    |

  3. Write the vector equations of the following lines and hence determine ...

    Text Solution

    |

  4. Find the shortest distance between the lines vec r=( hat i+2 hat j+ ...

    Text Solution

    |

  5. Find the shortest distance between the lines(x+1)/7=(y+1)/(-6)=(z+1)/...

    Text Solution

    |

  6. Find the shortest distance between the lines: vec r= hat i+2 hat j+3 ...

    Text Solution

    |

  7. Find the shortest distance between the lines: vec r=6 hat i+2 hat j+2...

    Text Solution

    |

  8. Find the distance between the lines l1a n d\ l2 given by vec r= hat ...

    Text Solution

    |

  9. Write the Cartesian and vector equation of X-axis.

    Text Solution

    |

  10. Write the Cartesian and vector equations of Y-axis.

    Text Solution

    |

  11. Write the Cartesian and vector equations of Z-axis.

    Text Solution

    |

  12. Write the vector equation of a line passing through a point having p...

    Text Solution

    |

  13. Cartesian equation of a line A B are (2x-1)/2=(4-y)/7=(z+1)/2dot write...

    Text Solution

    |

  14. Write the direction cosines of the line (x-2)/2=(2y-5)/(-3),\ z=2.

    Text Solution

    |

  15. Write the coordinate axis to which the line (x-2)/3=(y+1)/4=(z-1)/0 is...

    Text Solution

    |

  16. Write the direction cosine of the line whose Cartesian equations are 2...

    Text Solution

    |

  17. Write the angle between the lines 2x=3y=z\ a n d\ 6x=-y=-4zdot

    Text Solution

    |

  18. Write the value of lambda for which the lines (x-3)/(-3)=(y+2)/(2lambd...

    Text Solution

    |

  19. Write the formula for the shortest distance between the lines vec r=...

    Text Solution

    |

  20. Write the condition for the lines vec r= vec a1+lambda vec b1 a n d...

    Text Solution

    |