Home
Class 12
MATHS
Find the vector equation of the plane ...

Find the vector equation of the plane ` vec r=(1+s-t) hat i+(2-s) hat j+(3-2s+2t) hat k` in non-parametric form.

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 Cartesian form the equation of the plane vec r=(s-2t) hat i+(3-t) hat j+(2s+t) hat kdot

Find the unit vector perpendicular to the plane vec rdot(2 hat i+ hat j+2 hat k)=5.

Find the vector equation of the following plane in scalar product form: vec r=( hat i- hat j)+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k) .

Find the vector equation of the following plane in scalar product form: vec r=( hat i- hat j)+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

Find the shortest distance between the following pairs of line whose vector equation are: vec r=(1-t) hat i+(t-2) hat j+(3-t) hat k a n d\ vec r=(s+1) hat i+(2s-1) hat j-(2s+1) hat k

Find the vector equation of the following planes in Cartesian form: vec r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

Find the shortest distance between the lines whose vector equations are -> r=(1-t) hat i+(t-2) hat j+(3-2t) hat k and -> r=(s+1) hat i+(2s-1) hat j-(2s+1) hat k

Find the vector equation of the following planes in non parametric form: -> r=(2 hat i+2 hat j- hat k)+lambda( hat i+2 hat j+3 hat k)+mu(5 hat i-2 hat j+7 hat k)dot

Find the unit vector of the vector vec(r ) = 4hat(i) - 2hat(j) + 3 hat(k)

Find the Cartesian form of the equation of the following plane: vec r=( hat i- hat j)+s( hat i+ hat j+2 hat k)+t( hat i+2 hat j+ hat k)dot

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the vector equation of the plane through the points (2, 1, -1) an...

    Text Solution

    |

  2. Find the vector equation of the following planes in scalar product for...

    Text Solution

    |

  3. Find the vector equation of the plane vec r=(1+s-t) hat i+(2-s) hat ...

    Text Solution

    |

  4. Find dy/dx if y=e^(2x)

    Text Solution

    |

  5. Find the vector equation of the following planes in scalar product for...

    Text Solution

    |

  6. Find the Cartesian form of the equation of the following plane: vec r...

    Text Solution

    |

  7. Find the vector equation of the following planes in non parametric ...

    Text Solution

    |

  8. Find the vector equation of the following planes in non parametric ...

    Text Solution

    |

  9. Find the equation of plane passing through the point hat i+ hat j+ ha...

    Text Solution

    |

  10. Find the equation of a plane containing the line of intersection of...

    Text Solution

    |

  11. Direction ratios of the normal to the plane passing through the points...

    Text Solution

    |

  12. Find the Cartesian as well as vector equations of the planes through ...

    Text Solution

    |

  13. Find the equation of the plane which is parallel to 2x-3y+z=0 and whic...

    Text Solution

    |

  14. Find the equation of the plane through (3, 4, -1) which is parallel to...

    Text Solution

    |

  15. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  16. Find the equation of the plane through the point 2 hat i+ hat j- hat k...

    Text Solution

    |

  17. Find dy/dx if 4x+5y=8

    Text Solution

    |

  18. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  19. Find the vector equation (in scalar product form) of the plane cont...

    Text Solution

    |

  20. Find the equation of the plane which is perpendicular to the plane 5x+...

    Text Solution

    |