Home
Class 11
MATHS
If vec(a), vec(b) are unit vectors satis...

If `vec(a), vec(b)` are unit vectors satisfying `(5vec(a) + 3vec(b)) xx (3vec(a) -7vec(b))=vec(0)`, then `(vec(a), vec(b))` is

A

`(pi)/(2)`

B

`(pi)/(3)`

C

`(pi)/(6)`

D

`0 or pi`

Text Solution

Verified by Experts

The correct Answer is:
D
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)) =

Find the value of (vec(a) + vec(b)) xx (vec(a) - vec(b)) =

Let vec(a), vec(b), vec(c ) be three vectors satisfying vec(a) xx vec(b) = 2vec(a) xx vec(c ), |vec(a)| = |vec(c )| =1, |vec(b)|=4 and |vec(b) xx vec(c )|= sqrt15 . If vec(b)- 2vec(c )= lamda vec(a) , find the value of lamda .

The vectors vec(a) and vec(b) are not perpendicular and vec(c ) and vec(d) are two vectors satisfying vec(b) xx vec(c )= vec(b) xx vec(d) and vec(a).vec(d)= 0 . Then the vector vec(d) is equal to

If vec(a), vec(b), vec(c ) are unit vectors such that vec(a).vec(b)= vec(a).vec(c )=0 and (vec(b), vec(c ))= (pi)/(6) , then vec(a) =

If vec(a) and vec(b) are unit vectors, then the vectors (vec(a) + vec(b)) xx (vec(a) xx (vec(b)) is parallel to the vector.

If vec(a) = vec(i) + 2vec(j) - 3vec(k), vec(b)= 2vec(i) + vec(j) - vec(k) and vec(u) is a vector satisfying vec(a) xx vec(u) = vec(a) xx vec(b) and vec(a).vec(u)= 0 , then 2|vec(u)|^(2) =

vec(a) and vec(b) are non-zero vectors such that vec(a) xx vec(b)= vec(b) xx vec(a) " then" vec(a), vec(b) are

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

AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-II
  1. If vec(i), vec(j), vec(k) is an orthonomal system of vectors, vec(a) i...

    Text Solution

    |

  2. If vec(p), vec(q) are two non collinear and non zero vectors such that...

    Text Solution

    |

  3. If vec(a), vec(b) are unit vectors satisfying (5vec(a) + 3vec(b)) xx (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Match the following

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |