Home
Class 12
MATHS
If veca,vecb,vecc are coplanar then show...

If `veca,vecb,vecc` are coplanar then show that `veca+vecb, vecb+vecc and vecc+veca` are also coplanar.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Show that points with position vectors 2veca-2vecb+3vecc,-2veca+3vecb-vecc and 6veca-7vecb+7vecc are collinear. It is given that vectors veca,vecb and vecc and non-coplanar.

For any three vectors veca,vecb,vecc show that veca-vecb,vecb-vecc,vecc-veca are coplanar.

What is [vecavecbvecc] when veca,vecb,vecc are coplanar ?

If veca+vecb+vecc=vec0 , show that vecaxxvecb=vecbxxvecc=veccxxveca .

Simplify : [veca-vecb,vecb-vecc,vecc-veca] .

If veca,vecb,vecc are three vectors such that veca+vecb+vecc=vec0 and |veca|=2,|vecb|=3,|vecc|=5 the value of veca.vecb+vecb.vecc+vecc.veca is

If veca,vecb,vecc are three vectors such that vecaxxvecb=vecc,vecbxxvecc=veca , prove that veca,vecb,vecc are mutually at right angles and |vecb|=1,|vecc|=|veca| .

Let vec a, vec b, vec c are three vectors such that veca .veca=vecb . vecb = vecc . vecc = 3 and |veca-vecb|^2+|vecb-vecc|^2+|vecc-veca|^2=27, then

MODERN PUBLICATION-VECTORS-Exercise
  1. Prove that 1/2 vec(AC)xxvec(BD) represents the vector area of the plan...

    Text Solution

    |

  2. Given veca=1/7(2hati+3hatj+6hatk), vecb=1/7(3hati-6hatj+2hatk) , ve...

    Text Solution

    |

  3. If veca,vecb,vecc are coplanar then show that veca+vecb, vecb+vecc and...

    Text Solution

    |

  4. Are vectors veca and -veca collinear ?

    Text Solution

    |

  5. Write two different vectors having same magnitude.

    Text Solution

    |

  6. What is the unit vector in the direction of veca=veci+vecj+2veck?

    Text Solution

    |

  7. What is the position vector of the mid-point of the line segment joini...

    Text Solution

    |

  8. The scalar product of two given vectors veca and vecb having angle 'th...

    Text Solution

    |

  9. For mutually perpendicularl unit vectors hati,hatj,hatk, we have : hat...

    Text Solution

    |

  10. What is the value of : hati*(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjx...

    Text Solution

    |

  11. If |veca*vecb|=|vecaxxvecb|,then angle between veca and vecb is :

    Text Solution

    |

  12. Classify the following as vector as scalar : veca*vecb,[vecavecbvecc],...

    Text Solution

    |

  13. What is [vecavecbvecc] when veca,vecb,vecc are coplanar ?

    Text Solution

    |

  14. In /\ABC, which of the following is not true ?

    Text Solution

    |

  15. If veca and vecb are two collinear vectors, then which of the followin...

    Text Solution

    |

  16. If veca is a nonzero vector of magnitude 'a' and lambda a nonzero s...

    Text Solution

    |

  17. Let lambda be any non-zero scalar. Then for what possible values of x,...

    Text Solution

    |

  18. Let the vectors veca and vecb be such that |veca|=3 and |vecb|=(sqrt2)...

    Text Solution

    |

  19. Area of a rectangle having vertices : A(-hati+1/2 hatj+4hatk),B(hati+1...

    Text Solution

    |

  20. If theta is the angle between two vectors veca and vecb, then veca c...

    Text Solution

    |