Home
Class 12
MATHS
If the Cartesian equation of a plane is ...

If the Cartesian equation of a plane is `x+y+z=12` , then the vector equation of the plane is.... a)`barr.(2i+j+k)=12` b)`barr.(i+j+k)=12`
c)`barr.(i+j+2k)=12` d)`barr.(i+3j+k)=12`

A

`barr.(2i+j+k)=12`

B

`barr.(i+j+k)=12`

C

`barr.(i+j+2k)=12`

D

`barr.(i+3j+k)=12`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|106 Videos

  • VECTOR ALGEBRA

    MAXIMUM PUBLICATION|Exercise EXAMPLE|107 Videos

Similar Questions

Explore conceptually related problems

If the vector equation of a line is barr=i+j+k+mu(2i-3j-4k) , then the Cartesian equation of the line is

Let the equation of a plane be barr.(2hati-3hatj+5hatk)=7 , then find the Cartesian equation of the plane.

Find the vector equation of the Plane Passing through the intersection of the planes barr.(i+j+k)=6 and barr.(2i+3j+4k)=-5 and through the point (1,1,1).

Find the Cartesian equation of the plane passing through the point (1,2,-3) perpendicular to the vector2i-j+2k .

The vector equation of the plane through the point (2,1,-1) and parallel to the plane r.(i+3j-k)=0 is a) r.(i+9j+11k)=6 b) r.(i-9j+11k)=4 c) r.(i+3j-k)=6 d) r.(i+3j-k)=4

Find the distance of the point (2,3,4) from the plane barr.(3i-6j+2k)=-11 .

Find the distance of the point (-1,-2,3) from the Plane barr.(2i-3j+4k)=4

Find the projection of a vector i+3j+7k on the vector 7i-j+8k .

Find the shortest distance between the lines barr=(2i-j-k)+lambda(3i-5j+2k) and barr=(i+2j+k)+mu(i-j+k)

The position vector of the centroid of the Delta ABC is 2i + 4j + 2k . If the position vector of the vertex A is 2i + 6j + 4k, then the position vector of midpoint of BC is a)2i + 3j + k b)2i + 3j - k c)2i - 3j - k d) -2i - 3j - k

MAXIMUM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. The direction ratios of the line (x-6)/1=(2-y)/2=(z-2)/2are a)6,-2,-2 ...

    Text Solution

    |

  2. If the vector equation of a line is barr=i+j+k+mu(2i-3j-4k) , then t...

    Text Solution

    |

  3. If the Cartesian equation of a plane is x+y+z=12 , then the vector equ...

    Text Solution

    |

  4. Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu...

    Text Solution

    |

  5. Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu...

    Text Solution

    |

  6. Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu...

    Text Solution

    |

  7. Consider the line barr=(2i-j+k)+lambda(i+2j+3k). Find the Cartesian eq...

    Text Solution

    |

  8. Consider the line barr=(2i-j+k)+lambda(i+2j+3k) Find the vector equa...

    Text Solution

    |

  9. Consider the line barr=(2i-j+k)+lambda(i+2j+3k) Write two points on ...

    Text Solution

    |

  10. Find the equation of the plane through the point (1,2,3) and perpendic...

    Text Solution

    |

  11. Find the distance between the planes x-2y+2z-8=0 and 6y-3x-6z=57

    Text Solution

    |

  12. Consider the Cartesian equation of line (x-3)/2=(y+1)/3=(z-5)/-2 Find...

    Text Solution

    |

  13. Consider the Cartesian equation of line (x-3)/2=(y+1)/3=(z-5)/-2 F...

    Text Solution

    |

  14. Consider the Cartesian equation of line (x-3)/2=(y+1)/3=(z-5)/-2 F...

    Text Solution

    |

  15. From the following figure Find vec(AB)

    Text Solution

    |

  16. From the following figure Find the vector equation of line L.

    Text Solution

    |

  17. From the following figure Find a point on line L other than C.

    Text Solution

    |

  18. Find the vector equation of the plane which is at a distance of 6/sqrt...

    Text Solution

    |

  19. Consider the Plane barr.(-6i-3j-2k)+1=0. find the direction cosines pe...

    Text Solution

    |

  20. Consider three points (6,-1,1), (5,1,2) and (1,-5,-4) on space. Find ...

    Text Solution

    |