Home
Class 12
MATHS
Find the direction cosines of the line (...

Find the direction cosines of the line `(x+2)/2=(2y-7)/6=(1-z)/(-3)` . Also, find the vector equation of the line through the point `A(-1,\ 2,\ 3)` and parallel to the given line.

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 direction cosines of the line (x+2)/2=(2y-7)/6=(5-z)/6dot Also, find the vector equation of the line through the point A(-1,2,3) and parallel to the given line.

Find the direction cosines of the line (x-2)/2=(2y-5)/(-3),z=-1. Also, find the vector equation of the line.

Find the direction cosines of the line (4-x)/2=y/6=(1-z)/3dot Also, reduce it to vector form.

Find the direction cosines of the line (2x+1)/6=(3-2z)/8, y=-3 .

Find the vector equation of the line passing through the point A(1, 2, –1) and parallel to the line 5x – 25 = 14 – 7y = 35z .

Find the equation of a line passes through the point (1,3) and parallel to the line 3x-5y+7=0 .

Find the equation of a line passing through the point (2,3) and parallel to the line 3x-4y+5=0 .

The direction cosines of the line 6x-2=3y+1=2z-2 are

The direction cosines of the line 6x-2=3y+1=2z-2 are

Find the vector equation of the line passing through the point (2,-1,-1) which is parallel to the line 6x-2=3y+1=2z-2.

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Determine the equations of the line passing through the point (1, 2, -...

    Text Solution

    |

  2. If the coordinates of the points A ,\ B ,\ C ,\ D\ b e\ (1,\ 2,\ 3),\ ...

    Text Solution

    |

  3. Find the direction cosines of the line (x+2)/2=(2y-7)/6=(1-z)/(-3) . A...

    Text Solution

    |

  4. Determine whether the following pair of lines intersect or not. ve...

    Text Solution

    |

  5. Show that the lines x/1=(y-2)/2=(z+3)/3a n d(x-2)/2=(y-6)/3=(z-3)/4 in...

    Text Solution

    |

  6. Show that the lines (x-1)/3=(y+1)/2=(z-1)/5a n d(x+2)/4=(y-1)/3=(z+1)/...

    Text Solution

    |

  7. Show that the lines (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/...

    Text Solution

    |

  8. Determine whether the following pair of lines intersect or not. ...

    Text Solution

    |

  9. Find the equation of the perpendicular from point (3,-1,11) to line x...

    Text Solution

    |

  10. Find the perpendicular distasnce of the point (1,0,0) from the lines (...

    Text Solution

    |

  11. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |

  12. Find the equation of the perpendicular drawn from the point P(2,\ 4,\ ...

    Text Solution

    |

  13. Find the foot of the perpendicular drawn from the point hat i+6 hat j...

    Text Solution

    |

  14. Fine the equation of the perpendicular drawn from the point P(-1,\ 3,\...

    Text Solution

    |

  15. find the foot of perpendicular form (0,2,7) to lien (x+2)/(-1)=(y-1)/3...

    Text Solution

    |

  16. Find the equation of line passing through points A(0,6,- 9) and B(-3,-...

    Text Solution

    |

  17. Find the shortest distance between the following pairs of line whose ...

    Text Solution

    |

  18. Find the shortest distance between the following pairs of line whose ...

    Text Solution

    |

  19. Find the shortest distance between the following pairs of line whose ...

    Text Solution

    |

  20. Find the shortest distance between the following pairs of line whose ...

    Text Solution

    |