Home
Class 12
MATHS
For any three vectors veca,vecb and vecc...

For any three vectors `veca,vecb` and `vecc`, and, prove that `(veca+vecb)+vecc=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

With help of a suitable figure for any three vectors veca,vecb and vecc show that (veca+vecb)+vecc=veca+(vecb+vecc)

For any three vectors veca,vecb,vecc, show that vecatimes(vecb+vecc)+vecbtimes(vecc+veca)+vecctimes(veca+vecb)=0

Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

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

If veca,vecb,vecc are coplanar,prove that veca+vecb,vecb+vecc,vecc+veca are coplanar.

If veca,vecb,vecc are three vectors such that |veca|=5,|vecb|=12 and |vecc|=13 and veca+vecb+vecc=vec0 ,find the value of veca.vecb+vecb.vecc+vecc.veca .

Three vectors veca,vecb,"and" vecc satisfy the condition veca+vecb+vecc=vec0 . Evaluate the quantity mu=veca.vecb+vecb.vecc+vecc.veca . If |veca|=1,|vecb|=4 " and " |vecc|=2 .

For any two vectors veca and vecb , we always have |veca+vecb| le|veca|+|vecb| (triangle ineuality)

MAXIMUM PUBLICATION-VECTOR ALGEBRA-EXAMPLE
  1. (veca-vecb)times(veca+vecb) is equal to a)veca b)abs(veca)^2-abs(ve...

    Text Solution

    |

  2. Using vectors, show that the points A(1,2,7),B(2,6,3),C(3,10,-1) are...

    Text Solution

    |

  3. Find a vector in the direction of vecr=3i-4j that has a magnitude of ...

    Text Solution

    |

  4. For any three vectors veca,vecb and vecc, and, prove that (veca+vecb)+...

    Text Solution

    |

  5. Find a unit vector perpendicular to veca+vecb and veca-vecb, where vec...

    Text Solution

    |

  6. Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points.Find vec(AB) and v...

    Text Solution

    |

  7. Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points .Find the projecti...

    Text Solution

    |

  8. Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points Find the area of...

    Text Solution

    |

  9. ABCD is a parallelogram with A as the origin. vecb and vecd are posit...

    Text Solution

    |

  10. ABCD is a parallelogram with A as the origin. vecb and vecd are posit...

    Text Solution

    |

  11. ABCD is a parallelogram with A as the origin. vecb and vecd are posit...

    Text Solution

    |

  12. If veca,vecb,vecc,vecd respectively are the position vectors represent...

    Text Solution

    |

  13. Find the projection vector of vecb=i+2j+k along the vector veca=2i...

    Text Solution

    |

  14. Find the area of a parallelogram for which the vectors 2i+j,3i+j+4k ar...

    Text Solution

    |

  15. Write the magnitude of a vector veca in terms of dot product.

    Text Solution

    |

  16. If veca,vecb,veca+vecb are unit vectors, then prove that the angle bet...

    Text Solution

    |

  17. If 2i+j-3k and mi+3j-k are parpendicular to each other, then find 'm...

    Text Solution

    |

  18. Consider the triangle ABC with vertices A(1,2,3),B(-1,0,4),C(0,1,2) ...

    Text Solution

    |

  19. Consider the triangle ABC with vertices A(1,2,3),B(-1,0,4),C(0,1,2) ...

    Text Solution

    |

  20. Consider the triangle ABC with vertices A(1,2,3),B(-1,0,4),C(0,1,2) ...

    Text Solution

    |