Home
Class 12
MATHS
Find the vector equation of a line which...

Find the vector equation of a line which passes through the point with position vector `2 hat i= hat j+4 hat k` and is in the direction of ` hat i+ hat j-2 hat kdot` Also, reduce it to Cartesian form.

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

A line passes through the point with position vector 2 hat i-3 hat j+4 hat k and is in the direction of 3 hat i+4 hat j-5 hat kdot Find equations of the line in vector and Cartesian form.

A line passes through the point with position vector 2 hat i-3 hat j+4 hat k and is in the direction of 3 hat i+4 hat j-5 hat kdot Find the equations of the line in vector and Cartesian forms.

A line passes through the point with position vector 2 hat i-3 hat j+4 hat k and is in the direction of 3 hat i+4 hat j-5 hat kdot Find the equations of the line in vector and Cartesian forms.

Find the equation of the line in vector and in cartesian form that passes through the point with position vector 2 hat i- hat j+4 hat k and is in the direction hat i+2 hat j- hat k .

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot

Find the unit vector in the direction of 3 hat i+4 hat j-12 hat kdot

Find the unit vector in the direction of 3 hat i+4 hat j-12 hat kdot

Find the vector equation of the plane passing through the points having position vectors hat i+ hat j-2 hat k ,2 i - hat j+ hat ka n d hat i+2 hat j+ hat kdot

Writhe the projection of the vector 7 hat i+ hat j-4 hat k on the vector 2 hat i+6 hat j+3 hat kdot

Write the projection of the vector hat i+3 hat j+7 hat k on the vector 2 hat i-3 hat j+6 hat kdot

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

    Text Solution

    |

  2. Find the length of the perpendicular from the point (1,2,3) to the ...

    Text Solution

    |

  3. Find the vector equation of a line which passes through the point w...

    Text Solution

    |

  4. Find the vector equation of the line through A(3,4,-7)a n dB(1,-1,6)do...

    Text Solution

    |

  5. Find the vector equation of a line passing through a point with pos...

    Text Solution

    |

  6. vec A B=3 hat i- hat j+ hat ka n d vec C D=-3 hat i+2 hat j+4 hat k ar...

    Text Solution

    |

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

    Text Solution

    |

  8. 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

    |

  9. Find the equations of the two lines through the origin which inters...

    Text Solution

    |

  10. Find the vector of a line passing through (2,-1,1) and parallel to the...

    Text Solution

    |

  11. The Cartesian equations of a line are x=a y+b ,z=c y+d Find its direct...

    Text Solution

    |

  12. By computing the shortest distance determine whether the following ...

    Text Solution

    |

  13. Find the proof of perpendicular from the point (2,3,4) to the line (4-...

    Text Solution

    |

  14. Find the image of the point (1,6,3) in the line x/1=(y-1)/2=(z-2)/3 . ...

    Text Solution

    |

  15. Show that the distance d from point P to the line l having equation v...

    Text Solution

    |

  16. A (1, 0, 4), B (0, −11, 3), C (2, −3, 1) are three points and D is the...

    Text Solution

    |

  17. Find the angle between two lines whose direction ratios are proport...

    Text Solution

    |

  18. Find the angle between the lines (x-2)/3=(y+1)/(-2),z=2 " " "and" " " ...

    Text Solution

    |

  19. Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda...

    Text Solution

    |

  20. Find the vector equation of a line passing through the point with p...

    Text Solution

    |