Home
Class 12
MATHS
Find the vector equation of the line pas...

Find the vector equation of the line passing through (1, 2, 3 ) and parallel to the planes ` vec rdot( (hat i- hat j+2 hat k)=5\ a n d\ vec rdot((3 hat i+ hat j+ hat k)=6.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos
  • VECTOR OR CROSS PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of the line passing through (1, 2, 3 ) and parallel to the planes -> rdot( hat i- hat j+2 hat k)=5\ a n d\ -> rdot(3 hat i+ hat j+ hat k)=6.

Find the vector and Cartesian equations of the line passing through (1, 2, 3) and parallel to the planes vec rdot(( hat i- hat j+2 hat k)=5\ a n d\ vec rdot((3 hat i+ hat j+ hat k)=6.

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vec rdot( hat i- hat j+2 hat k)a n d vec rdot(3 hat i+ hat j+ hat k)=6.

Find the vector equation of the line passing through the point (1,2,3) and parallel to the planes vec rdot( hat i- hat j+2 hat k)=5 and vec rdot(3 hat i+ hat j+ hat k)=6.

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes -> rdot( hat i- hat j+2 hat k)=5 and -> rdot(3 hat i+ hat j+ hat k)=6 .

Find the vector and cartesian equations of the line passing through the point P\ (1,\ 2,\ 3)\ and parallel to the planes vec rdot( hat i-\ hat j+2 hat k)=5\ and vec rdot(3 hat i+ hat j+ hat k)=6.

Find the equation of the plane passing through (a, b, c) and parallel to the plane -> rdot( hat i+ hat j+ hat k)=2 .

Write the vector equation of the line passing through the point (1, -2, -3) and normal to the plane vec rdot((2 hat i+ hat j+2 hat k)=5.

Find the equation of the plane passing through (3,4,-1), which is parallel to the plane vec rdot(2 hat i-3 hat j+5 hat k)+7=0.

Find the angle between the plane: vec rdot((2 hat i- hat j+2 hat k)=6\ a n d\ vec rdot((3 hat i+6 hat j-2 hat k)=9.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Find the value of lambda such that the lines (x-2)/6=(y-1)/lambda=(z+5...

    Text Solution

    |

  5. Find the equation of the plane passing through the points (-1,2,0),(2,...

    Text Solution

    |

  6. Find the coordinates of the point where the line through the points...

    Text Solution

    |

  7. Find the coordinate of the point where the line through (5, 1, 6) and ...

    Text Solution

    |

  8. Find the coordinates of the point where the line through (3, -4, -5...

    Text Solution

    |

  9. Find the distance of the point P(3,\ 4,\ 4) from the point where the l...

    Text Solution

    |

  10. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

    Text Solution

    |

  11. If 4x+4y-lambdaz=0 is the equations of the plane through the origin th...

    Text Solution

    |

  12. If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect...

    Text Solution

    |

  13. Show that the lines vec r=(2 hat j-3 hat k)+lambda( hat i+2 hat j+3 h...

    Text Solution

    |

  14. Show that the lines (x+1)/(-3)=(y-3)/2=(z+2)/1\ a n d\ x/1=(y-7)/(-3)=...

    Text Solution

    |

  15. The line through of the plane passing through the lines (x-4)/(1)=(y-3...

    Text Solution

    |

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

    Text Solution

    |

  17. Find the vector equation of the plane passing through the points (3, ...

    Text Solution

    |

  18. If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)...

    Text Solution

    |

  19. Find the vector equation of the plane passing through three points w...

    Text Solution

    |

  20. Show that the lines (x-5)/4=(y-7)/4=(z+3)/(-5) and (x-8)/7=(y-4)/1=(z-...

    Text Solution

    |