Home
Class 12
MATHS
The vector equation of the plane through...

The vector equation of the plane through the point `2hat(i)-hat(j)-4hat(k)` and parallel to the plane `rcdot(4hat(i)-12hat(j)-3hat(k))-7=0` is

A

`vecr.(4hati-12hatj-3hatk)=0`

B

`vecr.(4hati-12hatj-3hatk)=32`

C

`vecr.(4hati-12hatj-3hat)=12`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

NA
Promotional Banner

Topper's Solved these Questions

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos
  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|16 Videos
  • MISCELLANEOUS EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos

Similar Questions

Explore conceptually related problems

The vector equation of the plane through the point hat(i)+2hat(j)-hat(k) and perpendicular to the line of intersection of the plane rcdot(3hat(i)-hat(j)+hat(k))=1 and rcdot(hat(i)+4hat(j)-2hat(k))=2 , is

Find the equation of plane passing through the point hat i+ hat j+ hat k and parallel to the plane vecr.(2 hat i- hat j+2 hat k)=5.

The vector equation of the plane through the point (2, 1, -1) and passing through the line of intersection of the plane rcdot(hat(i)+3hat(j)-hat(k))=0 and rcdot(hat(j)+2hat(k))=0, is

Find the equation of the plane through the point 2 hat i+ hat j- hat k and passing through the line of intersection of the plane vec rdot(( hat i+3 hat j- hat k)=0\ a n d\ vec rdot(( hat j+2 hat k)=0.

Find the distance of the point 2 hat i- hat j-4 hat k from the plane vec rdot((3 hat i-4 hat j+12 hat k)-9=0.

Find the planes passing through the intersection of plane rcdot(2hat(i)-3hat(j)+4hat(k))=1 and rcdot(hat(i)-hat(j))+4=0 and perpendicular to planes rcdot(2hat(i)-hat(j)+hat(k))=-8

The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-hat(j)+4hat(k)) and the plane rcdot(hat(i)+5hat(j)+hat(k))=5, is

The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-hat(j)+4hat(k)) and the plane rcdot(hat(i)+5hat(j)+hat(k))=5, is

Find the equation of sphere if it touches the plane rcdot(2hat(i)-2hat(j)-hat(k))=0 and the position vector of its centre is 3hat(i)+6hat(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

OBJECTIVE RD SHARMA ENGLISH-PLANE AND STRAIGHT LINE IN SPACE -Exercise
  1. The vector equation of the plane passing through the origin and the li...

    Text Solution

    |

  2. The position vectors of points A and B are hati - hatj + 3hatk and 3...

    Text Solution

    |

  3. The vector equation of the plane through the point 2hat(i)-hat(j)-4hat...

    Text Solution

    |

  4. The vector equation of the plane through the point (2, 1, -1) and pass...

    Text Solution

    |

  5. Equation of a plane passing through the intersection of the planes vec...

    Text Solution

    |

  6. The vector equation of a plane which contains the line vecr=2hati+lamd...

    Text Solution

    |

  7. The equation of the plane containing the lines vecr = vec a (1) + lam...

    Text Solution

    |

  8. The equation of the plane containing the lines vecr = vec a (1) + lam...

    Text Solution

    |

  9. Find the equation of plane passing through the line of intersection of...

    Text Solution

    |

  10. Find the vector equation of the plane in which the lines vecr=hati+ha...

    Text Solution

    |

  11. The Cartesian equation of the plane vecr=(1+lamda-mu)hati+(2-lamda)hat...

    Text Solution

    |

  12. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

    Text Solution

    |

  13. The vector equation of the line of intersection of the planes vecr.(2h...

    Text Solution

    |

  14. A straight line vecr=veca+lambda vecb meets the plane vecr. vec n=0 at...

    Text Solution

    |

  15. The equation of the plane passing through three non - collinear points...

    Text Solution

    |

  16. The length of the perpendicular from the origin to the plane passing t...

    Text Solution

    |

  17. The equation of the plane containing the line (x-x1)/l=(y-y1)/m=(z-...

    Text Solution

    |

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

    Text Solution

    |

  19. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2and (x-1)/(3k)=(y-1)/1=(z-6...

    Text Solution

    |

  20. The direction ratios of a normal to the plane passing throuhg (0,0,1)...

    Text Solution

    |