Home
Class 11
MATHS
If |vec(a)|= |vec(b)| =1 and |vec(a) xx ...

If `|vec(a)|= |vec(b)| =1 and |vec(a) xx vec(b)|= vec(a).vec(b)`, then `|vec(a) + vec(b)|^(2)=`

A

`sqrt2`

B

`2 + sqrt2`

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Practice Exercise|34 Videos

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Exercise-I|22 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)|23 Videos

Similar Questions

Explore conceptually related problems

(vec(a) xx vec(b), vec(b) xx vec(a)) =

If |vec(a)| = |vec(b)|=2 , then (vec(a) xx vec(b))^(2) + (vec(a).vec(b))^(2)=

If |vec(a)|=1, |vec(b)|=2 and (vec(a), vec(b))= 120^(@) , then {(vec(a) + 3 vec(b)) xx (3vec(a) - vec(b))}^(2)=

If vec(u)= vec(a)- vec(b), vec(v)= vec(a) + vec(b) and |vec(a)| =|vec(b)|=2, (vec(a), vec(b)) =(pi)/(3) , then |vec(u) xx vec(v)| =

Let vec(a)= vec(i) + vec(j), vec(b)= 2vec(j)-vec(k) . If vec(r ) xx vec(a) = vec(b) xx vec(a), vec(r ) xx vec(b) = vec(a) xx vec(b) , then (vec(r ))/(|vec(r )|) =

If vec(C) = vec(A) + vec(B) then

If vec(a).vec(b) = vec(a).vec(c ) and vec(a) xx vec(b)= vec(a) xx vec(c ) and vec(a) ne vec(0) then show that vec(b)= vec(c )

If vec(a) + vec(b) + vec(c )= vec(0) and |vec(a) xx vec(b)|=3 , then |vec(b) xx vec(c )| =

If vec(u)= vec(a)- vec(b), vec(v)= vec(a) + vec(b) and |vec(a)| =|vec(b)|=2 , then |vec(u) xx vec(v)| =

If |vec(a)|=2, |vec(b)|=4 , then (|vec(a) xx vec(b)|^(2))/(1-cos^(2)(vec(a), vec(b)))=

AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-II
  1. If vec(a), vec(b) are unit vectors satisfying (5vec(a) + 3vec(b)) xx (...

    Text Solution

    |

  2. Statement-I: If |vec(a).vec(b)|= |vec(a) xx vec(b)| then (vec(a), vec(...

    Text Solution

    |

  3. If |vec(a)|= |vec(b)| =1 and |vec(a) xx vec(b)|= vec(a).vec(b), then |...

    Text Solution

    |

  4. If vec(a), vec(b), vec(c ) are unit vectors such that vec(a).vec(b)= v...

    Text Solution

    |

  5. If vec(a) xx vec(b)= vec(c ) xx vec(d), vec(a) xx vec(c )= vec(b) xx v...

    Text Solution

    |

  6. If vec(a).vec(i)=4, then (vec(a) . vec(j))xx (2vec(j)-3vec(k))=

    Text Solution

    |

  7. The unit vector orthogonal to a = 2i + 2j + k, b = 3i + 4j - 12k and f...

    Text Solution

    |

  8. A vector of magnitude 6 which is perpendicular to both 4vec(i) - vec(j...

    Text Solution

    |

  9. Match the following

    Text Solution

    |

  10. p vec(a) is a vector perpendicular to vec(i) and vec(j) whose magnitud...

    Text Solution

    |

  11. If vec(a) + 2vec(b) + 4 vec(c )= vec(0), then vec(a) xx vec(b) + vec(b...

    Text Solution

    |

  12. If vec(a) xx vec(b) = vec(b) xx vec(c )= vec(c )xx vec(a), where vec(a...

    Text Solution

    |

  13. If vec(a) + vec(b) + vec(c )= vec(0) and |vec(a) xx vec(b)|=3, then |v...

    Text Solution

    |

  14. If (vec(a) xx vec(b))^(2) + (vec(a).vec(b))^(2)=144 and |vec(a)|=4" th...

    Text Solution

    |

  15. If vec(p)= vec(a)-vec(b), vec(q)= vec(a) + vec(b), |vec(a)|= |vec(b)|=...

    Text Solution

    |

  16. If vec(i), vec(j), vec(k) are unit orthonormal vectors and vec(a) is a...

    Text Solution

    |

  17. Assertion (A): Let vec(a) = a(1) vec(i) + a(2) vec(j) + a(3) vec(k). T...

    Text Solution

    |

  18. If vec(a), vec(b) are not perpendicular to each other and vec(r ) xx v...

    Text Solution

    |

  19. If vec(r ) xx vec(a) = vec(b) xx vec(a), vec(r ) xx vec(b) = vec(a) xx...

    Text Solution

    |

  20. Let vec(a)= vec(i) + vec(j), vec(b)= 2vec(j)-vec(k). If vec(r ) xx vec...

    Text Solution

    |