Home
Class 12
MATHS
The inverse of the statement " If vec a ...

The inverse of the statement " If `vec a = vec = 0 ` or `vec b =vec 0` then `vec a xx vec b =vec 0` is

A

If `vec a ne vec 0` or `vec b ne vec 0` then `vec a xx vec b ne vec 0`

B

If `vec a xx vec b ne vec 0` then `vec a ne vec 0` or ` vec b ne 0`

C

If ` vec a ne vec 0` and `vec b ne vec 0` then `vec a xx vec b ne 0`

D

If `vec a xx vec b = vec 0` then `vec a ne vec 0` or ` vec b ne vec 0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND SUMMATION OF SERIES

    HIMALAYA PUBLICATION|Exercise Question Bank|91 Videos

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos

Similar Questions

Explore conceptually related problems

The contrapositive of the statement " If vec a = vec 0 or vec b = vec 0 then vec a xx vec b = vec 0 " is

If |vec a| =5, |vec b| =6, vec a . vec b = 24 then |vec a xx vec b| =

If vec a xx vec b = vec c and vec b xx vec c = vec a then

(vec b xx vec c) xx (vec c xx vec a ) =

If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec b

If vec a = i+j+k, vec a. vec b = 1 and vec a xx vec b = j-k then vec b =

[vec a + vec b vec b + vec c vec c + vec a] =

If vec a = i + 2j, vec b = j +2k, vec c = i+2k then vec a . (vec b xx vec c) =

If 2 vec a . vec b = |vec a|.|vec b| then the between vec a and vec b is

If vec a, vec b, vec c are non coplanar vectors such that, vec b xx vec c = vec a, vec c xx vec a = vec b, vec a xx vec b = vec c , then |vec a + vec b + vec c| =

HIMALAYA PUBLICATION-MATHEMATICAL REASONING-Question Bank
  1. The statement that is not correct is

    Text Solution

    |

  2. The contrapositive of the statement " If vec a = vec 0 or vec b = vec...

    Text Solution

    |

  3. The inverse of the statement " If vec a = vec = 0 or vec b =vec 0 th...

    Text Solution

    |

  4. The negation of the statement " If A . B = 0 then A = 0 or B = 0 (wh...

    Text Solution

    |

  5. The logically equivalent statement of ~(p ^^ ~q) is

    Text Solution

    |

  6. Negation of the statement ~p to (q vv r) is

    Text Solution

    |

  7. The false statement in the following is

    Text Solution

    |

  8. The compound statement (p ^^ q) to ( p vv q) is

    Text Solution

    |

  9. (t ^^ p) harr p, where t is a tautology, is

    Text Solution

    |

  10. (c ^^ p) harr c, where c is a contradiction is

    Text Solution

    |

  11. The contrapositive of the statement p to ( ~q to ~r) is

    Text Solution

    |

  12. If x = 4 and y = -3 , then 2x-y =11. The contrapositive of this statem...

    Text Solution

    |

  13. Negation of the statement p t (q ^^ r) is

    Text Solution

    |

  14. The inverse of the proposition (p ^^ ~q) to r is

    Text Solution

    |

  15. If p and q be two statement, then the Bioconditional statement p iffq ...

    Text Solution

    |

  16. Which of the following is true for the proposition p and q?

    Text Solution

    |

  17. The negation of the statement ' A circle is an ellipse' is

    Text Solution

    |

  18. The negation of the statement ' 7 is greater is than 8' is

    Text Solution

    |

  19. The negation of the statement ' 72 is divisible by 2 and 3' is

    Text Solution

    |

  20. The negation of the statement ' plants take in co(2) and give o(2)' is

    Text Solution

    |