Home
Class 12
MATHS
Find the equation a plane containing the...

Find the equation a plane containing the line `vecr =t veca` and perpendicular to the plane containing the line `vecr = u vecb and vecr = v vec c.`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos
  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|87 Videos
  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-1|90 Videos
  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the equation of a line passing through the point (1,2,3) and perpendicular to the plane vecr.(2hati-3hatj+4hatk) = 1 .

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

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

If vecA + vecB = vecR and 2vecA + vecB s perpendicular to vecB then

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

Let vecn be a unit vector perpendicular to the plane containing the point whose position vectors are veca, vecb and vecc and, if abs([(vecr -veca)(vecb-veca)vecn])=lambda abs(vecrxx(vecb-veca)-vecaxxvecb) then lambda is equal to

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-2
  1. A plane makes interceptsOA, OB and OC whose measurements are a, b and ...

    Text Solution

    |

  2. Let vectors veca, vecb veca and vecd be such that (veca xxvecb)xx (vec...

    Text Solution

    |

  3. The image of plane p (1) in the plane mirror p (2) is : Let two planes...

    Text Solution

    |

  4. Find the equation of a line : passing through the point vec c , paral...

    Text Solution

    |

  5. Find the equation of a line passing through the point vec c, parallel ...

    Text Solution

    |

  6. Prove that the shortest distance between the diagonals of a rectangula...

    Text Solution

    |

  7. The equation of the plane which passes through the line of intersect...

    Text Solution

    |

  8. Find the equation a plane containing the line vecr =t veca and perpend...

    Text Solution

    |

  9. Prove that the line of intersection of x + 2y + 3z=0 and 3x + zy+ z=0 ...

    Text Solution

    |

  10. Find the distance of the point (3,8,2) from the line vecr=hati + 3 hat...

    Text Solution

    |

  11. Find the vector equation of the plane vecr = 2 hati + hatj - 3 hatk + ...

    Text Solution

    |

  12. Show that the equation to the plane containing the line y/b+ z/c =1, x...

    Text Solution

    |

  13. Prove that the volume of the tetrahedron and that formed by the centro...

    Text Solution

    |

  14. In a regular tetrahedron, prove the following: The angle between any e...

    Text Solution

    |

  15. In a regular tetrahedron, prove that angle theta between any edge and ...

    Text Solution

    |

  16. A line L1 passing through a point with position vector p=i+2j+3k and ...

    Text Solution

    |

  17. A line L1 passing through a point with position vector p=i+2h+3k and ...

    Text Solution

    |

  18. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

    Text Solution

    |

  19. Find area parallelogram lines y=mx, y=mx+1, y=nx and y=nx+1 equal to:

    Text Solution

    |

  20. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

    Text Solution

    |