Home
Class 12
MATHS
Prove that [ veca+vecb vecb+vecc v...

Prove that `[ veca+vecb vecb+vecc vecc+veca]=2[veca vecb vecc]`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|136 Videos

Similar Questions

Explore conceptually related problems

Hence, show that veca.vecb+vecb.vecc+vecc.veca=(-3)/2 if veca+vecb+vecc=0 .

Prove that (veca xx vecb)^2=|(veca.veca,veca.vecb),(veca.vecb,vecb.vecb)| .

Show that if veca+vecb,vecb+vecc,vecc+veca are coplanar then veca,vecb,vecc are also coplanar.

veca,vecb,vecc are three non zero vectors such that vecaxxvecb=vecc,vecbxxvecc=veca .Prove that veca,vecb,vecc are mutually at right angle and |vecb|=1,|vecc|=|veca| .

MAXIMUM PUBLICATION-VECTOR ALGEBRA-EXAMPLE
  1. Find the Direction cosiness along vec(AB) where A(4,5,6) and B(6,3,8)

    Text Solution

    |

  2. Show that the points A, B and C with position vectors veca=3i-4j-4k,ve...

    Text Solution

    |

  3. Prove that [ veca+vecb vecb+vecc vecc+veca]=2[veca vecb vecc]

    Text Solution

    |

  4. Consider the vector vecp=2i-j+k. Find two vectors vecq and vecr such t...

    Text Solution

    |

  5. Find veca.vecb,vecatimesvecb and vecbtimesvecc using the vectors. ve...

    Text Solution

    |

  6. If veca=3i+j+2k, FInd magnitude of vec a

    Text Solution

    |

  7. If veca=3i+j+2k, If the projection of veca on another vector vecb is ...

    Text Solution

    |

  8. If veca=3i+j+2k, If veca makes an angle 60° with a vector vecc, find...

    Text Solution

    |

  9. The projection of the vector 2i+3j+2k on the vector i+j+k is a)frac(3...

    Text Solution

    |

  10. Find the area of a parallelogram whose adjacent sides are the vector 2...

    Text Solution

    |

  11. The angle between the vectors i+j and j+k is

    Text Solution

    |

  12. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, fin...

    Text Solution

    |

  13. If veca, vecb, vecc are unit vectors then, veca.veca=

    Text Solution

    |

  14. Hence, show that veca.vecb+vecb.vecc+vecc.veca=(-3)/2 if veca+vecb+vec...

    Text Solution

    |

  15. Let A(2,3),B(1,4),C(0,-2) and D(x,y) are vertices of a parallelogram A...

    Text Solution

    |

  16. Let A(2,3),B(1,4),C(0,-2) and D(x,y) are vertices of a parallelogram A...

    Text Solution

    |

  17. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  18. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  19. Choose the correct answer from the backet. If a unit vector hata makes...

    Text Solution

    |

  20. Find a unit vector hata.

    Text Solution

    |