Home
Class 12
MATHS
Subtraction of two vectors is not commut...

Subtraction of two vectors is not commutative.

Text Solution

Verified by Experts

1
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

Dot product of two vectors is a _____ quantity.

Expalin the statement that " vector addition is commutative".

Cross product of two vectors is a _____quantity.

Prove, analytically that the vector representing cross product of two vectors is perpendicular to either of them.

Obtain expression for cross product of two vectors in terms of their rectangular components.

Prove that magnitude of cross product of two vectors is equal to the area of the parallelogram with those two sides as vectors.

Consider the binary operation **:R xxR to R and o:R xx R to R defined as a**b = |a-b| and a o b = a . For all a , b in R . Show that * is commutative but not associative, .o. is associative but not commutative.

Obtain an expression for cross product of two vector in terms of their rectangular component form.

For each binary operation defined below, determine whether * is the commutative or not. On R defined a *b = a + 4b^(2) .

MBD PUBLICATION-VECTORS-QUESTION BANK
  1. Reactify the mistakes if any. All unit vectors are equal.

    Text Solution

    |

  2. |veca| = |vecb| = veca = vecb.

    Text Solution

    |

  3. Subtraction of two vectors is not commutative.

    Text Solution

    |

  4. If veca = (2,1), vecb = (-1,0), find 3veca + 2vecb.

    Text Solution

    |

  5. If veca = (1,1,1), vecb = (-1,3,0) and vecc = (2,0,2), find veca+2vec...

    Text Solution

    |

  6. If A, B, C and D are the vertices of a square, find vec(AB) + vec(BC)+...

    Text Solution

    |

  7. The given points A, B, C are the vertices of a triangle. Determine the...

    Text Solution

    |

  8. The given points A, B, C are the vertices of a triangle. Determine the...

    Text Solution

    |

  9. Find the vector from origin to the mid-point of the vector vec(P1P2) j...

    Text Solution

    |

  10. Find the vectors from the origin to the points of trisection the vecto...

    Text Solution

    |

  11. Find the vectors from the origin to the intersection of the medians of...

    Text Solution

    |

  12. Prove that the sum of all the vectors drawn from the centre of a regul...

    Text Solution

    |

  13. Prove that the sum of the vectors represented by the sides of a closed...

    Text Solution

    |

  14. Prove that : |veca + vecb|le|veca|+|vecb|.

    Text Solution

    |

  15. State when the equality will hold, |veca - vecb|ge|veca|-|vecb|

    Text Solution

    |

  16. What is geometrical significance of the relation |veca+vecb| = |veca-v...

    Text Solution

    |

  17. Find the magnitude of the vector vec(PQ), its scalar components and th...

    Text Solution

    |

  18. Find the magnitude of the vector vec(PQ), its scalar components and th...

    Text Solution

    |

  19. Find the magnitude of the vector vec(PQ), its scalar components and th...

    Text Solution

    |

  20. In each of the following find the vector vec(PQ), its magnitude and di...

    Text Solution

    |