Home
Class 12
MATHS
The equation of the plane containing the...

The equation of the plane containing the line `vecr= veca + k vecb` and perpendicular to the plane `vecr . Vecn =q` is :

A

`(r-b).(n xxa) =0`

B

`(r-a).{(nxx(axxb)} =0`

C

`(r-a).(nxxb) =0`

D

`(r-b).{(n xx(axx b)} =0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (TRUE AND FALSE) |3 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (FILL IN THE BLANKS) |8 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

The equation of the plane contaiing the lines vecr=veca_(1)+lamda vecb and vecr=veca_(2)+muvecb is

The vector equation of a plane which contains the line vecr=2hati+lamda(hatj-hatk) and perpendicular to the plane vecr.(hati+hatk)=3 is

The equation of the line throgh the point veca parallel to the plane vecr.vecn=q and perpendicular to the line vecr=vecb+tvecc is (A) vecr=veca+lamda (vecnxxvecc) (B) (vecr-veca)xx(vecnxxvecc)=0 (C) vecr=vecb+lamda(vecnxxvecc) (D) none of these

The line vecr= veca + lambda vecb will not meet the plane vecr cdot n =q, if

The equation of the plane containing the line vecr=hati+hatj+lamda(2hati+hatj+4hatk) is

Assertion: vecAxxvecB is perpendicular to both vecA+vecB as well as vecA-vecB . Reason: vecA+vecB as well as vecA-vecB lie in the plane containing vecA and vecB , but vecAxxvecB lies perpendicular to the plane containing vecA and vecB

Find the equation of the plane through the point hati+4hatj-2hatk and perpendicular to the line of intersection of the planes vecr.(hati+hatj+hatk)=10 and vecr.(2hati-hatj+3hatk)=18.

The plane vecr cdot vecn = q will contain the line vecr = veca + lambda vecb if

The equation of the line of intersetion of the planes vecr.vecn=q,vecr.vecn\'=q\' and pasing through the point veca is (A) vecr=veca+lamda(vecn-vecn\') (B) vecr=veca+lamda(vecnxxvecn\') (C) vecr=veca+lamda(vecn+vecn\') (D) none of these

The equation of the plane which contains the origin and the line of intersectio of the plane vecr.veca=d_(1) and vecr.vecb=d_(2) is

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

    Text Solution

    |

  2. If |a|=2a n d|b|=3 and adotb=0,t h e n(axx(axx(axx(axxb)))) is equal t...

    Text Solution

    |

  3. [a " " b " "axxb] +[a.b]^(2) =

    Text Solution

    |

  4. If a = 1,2,4, b =2,-3,-1, c=1,4-4, then the vector a xx(b xxc) is orth...

    Text Solution

    |

  5. The magnitudes of vectors vec a , vec b and vec c are respectively 1...

    Text Solution

    |

  6. For non-coplanar vectors a, b and c, abs((a times b)*c)=abs(a) abs(b) ...

    Text Solution

    |

  7. Let veca = 2i + j + k, and b = i+ j if c is a vector such that veca ....

    Text Solution

    |

  8. Let a =2i+j-2k and b=i+j. If c is a vector such that a.c = |c|,|c-a| =...

    Text Solution

    |

  9. Let the unit vectors a and b be perpendicular and the unit vector c be...

    Text Solution

    |

  10. The equation of the plane containing the line vecr= veca + k vecb and ...

    Text Solution

    |

  11. ( axxb) xx (a xxc ).d equals

    Text Solution

    |

  12. If a,b,c and d be four vectors, then (a xxb). (c xx d) + ( b xx c) . ...

    Text Solution

    |

  13. If the non-zero vectors a and b are perpendicular to each other, then ...

    Text Solution

    |

  14. Let veda,vecb,vecc be three noncolanar vectors and vecp,vecq,vecr are ...

    Text Solution

    |

  15. Let a,b,c be any threee non zero non-coplanar vectors, then any vecto...

    Text Solution

    |

  16. If a,b,c and p,q,r are reciprocal systemm of vectors, then axxp+bxxq+c...

    Text Solution

    |

  17. If a.(b xx c) = 3 then

    Text Solution

    |

  18. Let a,b,c be three non-coplanar vectors and r be any vector in space s...

    Text Solution

    |

  19. Unit vector vecc is inclined at an angle theta to unit vectors ve...

    Text Solution

    |

  20. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |