Home
Class 11
MATHS
Let |vec(a) + vec(b)| = |vec(a)-vec(b)|....

Let `|vec(a) + vec(b)| = |vec(a)-vec(b)|`. If `|vec(a) xx vec(b)|= lamda |vec(a)|`, then `lamda`=

A

`|vec(a)|`

B

`|vec(b)|`

C

1

D

2

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 Exercise-II|47 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

Let vec(C ) = vec(A) + vec(B) ,

If vec(a) xx vec(b)= vec(c ) xx vec(d), vec(a) xx vec(c )= vec(b) xx vec(d) , then

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

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

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(a), vec(b))= pi , then |4vec(a) xx 5vec(b) + vec(b) xx vec(a)| =

If vec(a) is a non zero vector and vec(a).vec(b)= vec(a).vec(c ), vec(a) xx vec(b)= vec(a) xx vec(c ) , then

If vec(a)= (1)/(7) (2vec(i) + 3vec(j) -6vec(k)), vec(b)= (1)/(7) (3vec(i) - 6vec(j) + 2vec(k)) and vec(c )= (1)/(7) (6vec(i) + 2vec(j)- 3vec(k)) are such that vec(a) xx vec(b)= lamda vec(c ) then find lamda .

AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Practice Exercise
  1. If vec(a)= -vec(i) + vec(j) + vec(k), vec(b)= vec(i)-vec(j) + vec(k), ...

    Text Solution

    |

  2. Observe the following statements Assertion (A): (a-b) (vec(p) xx vec...

    Text Solution

    |

  3. Let |vec(a) + vec(b)| = |vec(a)-vec(b)|. If |vec(a) xx vec(b)|= lamda ...

    Text Solution

    |

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

    Text Solution

    |

  5. Given vec(a) = vec(i) + vec(j)-vec(k), vec(b)= - vec(i) + 2vec(j) + ve...

    Text Solution

    |

  6. Number of vectors of unit length perpendicular to the vectors vec(a)= ...

    Text Solution

    |

  7. The unit vector perpendicular to vectors vec(i)-vec(j) and vec(i) + ve...

    Text Solution

    |

  8. If vec(a)= 2vec(i) + vec(j)-3vec(k), vec(b)=vec(i) -2vec(j) + vec(k), ...

    Text Solution

    |

  9. Let vec(a) + m vec(b) + n vec(c )= vec(0).vec(a) xx vec(b) + vec(b) xx...

    Text Solution

    |

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

    Text Solution

    |

  11. Which of the following statements are true. Statement-I: (vec(r ).ve...

    Text Solution

    |

  12. If r. a = r.b = r.c = 0 where a,b,c are noncoplannar, then

    Text Solution

    |

  13. A vector vec( c) perpendicular to the vectors 2vec(i) + 3vec(j)-vec(k)...

    Text Solution

    |

  14. The vectors vec(a) and vec(b) are not perpendicular and vec(c ) and ve...

    Text Solution

    |

  15. If three vectors vec(a), vec(b), vec(c ) are such that vec(a) ne vec(0...

    Text Solution

    |

  16. Assertion (A): The area of the triangle with vertices (1,2,3), (2, 5, ...

    Text Solution

    |

  17. The area of the parallelogram is 4sqrt29 sq.u. If one of adjacent side...

    Text Solution

    |

  18. ABCD is a quadrilateral with vec(AB)= vec(a), vec(AD)= vec(b) and vec(...

    Text Solution

    |

  19. The perpendicular distance from A(1, 4, -2) to BC, where B= (2, 1, -2)...

    Text Solution

    |

  20. If vec(AB)= vec(b) and vec(AC)= vec( c), then the length of the perpen...

    Text Solution

    |