Home
Class 12
MATHS
If veca,vecb and vecc are three non-copl...

If `veca,vecb` and `vecc` are three non-coplanar vectors, then the vector equation `vecr-(1-p-q)veca+pvecb+qvecc` represents a

A

straight line

B

plane

C

plane passing through the origin

D

sphere

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PLANE

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • PLANE

    TARGET PUBLICATION|Exercise CRITICAL THINKING|58 Videos
  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos
  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos

Similar Questions

Explore conceptually related problems

If veca,vecb,vecc are three non coplanar vectors then the vector equation vecr=(1-p-q)veca+pvecb+qvecc are represents a: (A) straighat line (B) plane (C) plane passing through the origin (D) sphere

If veca, vecb, vecc are three non-coplanar vectors, then a vector vecr satisfying vecr.veca=vecr.vecb=vecr.vecc=1 , is

If vecA,vecB and vecC are coplanar vectors, then

If veca, vecb and vecc 1 are three non-coplanar vectors, then (veca + vecb + vecc). [(veca + vecb) xx (veca + vecc)] equals

If veca, vecb and vecc 1 are three non-coplanar vectors, then (veca + vecb + vecc). [(veca + vecb) xx (veca + vecc)] equals

If veca,vecb and vecc are three non-coplanar vectors then the length of projection of vector veca in the plane of the vectors vecb and vecc may be given by

If vecP = (vecbxxvecc)/([vecavecbvecc]).vecq=(veccxxveca)/([veca vecb vecc])and vecr = (vecaxxvecb)/([veca vecbvecc]), " where " veca,vecb and vecc are three non- coplanar vectors then the value of the expression (veca + vecb + vecc ). (vecq+ vecq+vecr) is

If veca, vecb and vecc are three non-coplanar non-zero vectors, then prove that (veca.veca) vecb xx vecc + (veca.vecb) vecc xx veca + (veca.vecc)veca xx vecb = [vecb vecc veca] veca

If veca, vecb and vecc are three non-coplanar non-zero vectors, then prove that (veca.veca) vecb xx vecc + (veca.vecb) vecc xx veca + (veca.vecc)veca xx vecb = [vecb vecc veca] veca

If veca, vecb and vecc are three non-coplanar vectors, then find the value of (veca.(vecbxxvecc))/(vecb.(veccxxveca))+(vecb.(veccxxveca))/(vecc.(vecaxxvecb))+(vecc.(vecbxxveca))/(veca.(vecbxxvecc))

TARGET PUBLICATION-PLANE-COMPETATIVE THINKING
  1. The equation of the plane passing through the point (-10,5,4) and perp...

    Text Solution

    |

  2. A plane II passes through the point (1,1,1).If b,c,a are the direction...

    Text Solution

    |

  3. If veca,vecb and vecc are three non-coplanar vectors, then the vector ...

    Text Solution

    |

  4. The equation of the plane that passes through the points (1,0,2),(1,1,...

    Text Solution

    |

  5. The equation of the plane passing through the points (1,2,3), (-1,4,2)...

    Text Solution

    |

  6. If the plane passing through the points (1,2,3),(2,3,1) and (3,1,2) is...

    Text Solution

    |

  7. The equation of the plane passing through the intersection of the plan...

    Text Solution

    |

  8. The equation of plane passing through (2,1,0) and line of intersection...

    Text Solution

    |

  9. Equation of the plane perpendicular to the line (x)/(1)=(y)/(2)=(z)/(3...

    Text Solution

    |

  10. A plane which passes through the point (3,2,0) nd the line (x-4)/1=(y-...

    Text Solution

    |

  11. The equation of the plane through the point (2,-1,-3) and parallel to ...

    Text Solution

    |

  12. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |

  13. The angular between two planes x+2y+2z=3 and -5x+3y+4z=9 is

    Text Solution

    |

  14. The angle between the planes 3x-4y+5z=0 and 2x-y-cz=5 is

    Text Solution

    |

  15. The locus represented by xy + yz = 0 is

    Text Solution

    |

  16. If the angle between the planes bar r .(m hati -hatj+2hatk)+3=0 ...

    Text Solution

    |

  17. IF planes bar r . ( p hati - hatj + 2 hatk )+3=0 and bar r .( 2...

    Text Solution

    |

  18. The d,r,s of normal to the plane through (1,0,0),(0,1,0) which makes a...

    Text Solution

    |

  19. If the planes x+2y+kz=0 and 2x+y-2z=0, are at right angles, then the v...

    Text Solution

    |

  20. The value of k for which the planes 3x-6y-2z=7 and 2x+y-kz=5 areperpen...

    Text Solution

    |