Home
Class 12
MATHS
If aa n db are vectors in space given ...

If `aa n db` are vectors in space given by ` vec a=( hat i-2 hat j)/(sqrt(5))a n d vec b=( hat2i+ hat j+3 hat k)/(sqrt(14))` , then find the value of `(2 vec a+ vec b)dot[[( vec axx vec b)xx( vec a-2 vec b)]]dot`

Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Subjective Type Questions)|17 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b=4 hat i-4 hat j+7 hat k

Find vec a +vec b if vec a = hat i - hat j and vec b =2 hat i

If vec a= hat i+ hat j+ hat ka n d vec b= hat i-2 hat j+ hat k , then find vector vec c such that vec adot vec c=2a n d vec axx vec c= vec bdot

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat k

Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i+3 hat j-2 hat k

If vec a=3 hat i+4 hat j\ a n d\ vec b= hat i+ hat j+ hat k ,\ find the value of | vec axx vec b|dot

Find vec axx vec b ,\ if\ vec a=2 hat i+ hat k\ a n d\ vec b= hat i+ hat j+ hat kdot

If vec a= hat i+ hat j+ hat k and vec b= hat i-2 hat j+ hat k , then find vector vec c such that vec a . vec c=2 and vec axx vec c= vec bdot

If vec a=2 hat i+ hat k ,\ vec b= hat i+ hat j+ hat k , find the magnitude of vec axx vec bdot

Find | vec a xx vec b|, if vec a=2 hat i+ hat j+3 hat k and vec b=3 hat i+5 hat j-2 hat k .

ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

    Text Solution

    |

  2. Let P,Q R and S be the points on the plane with position vectors -2hat...

    Text Solution

    |

  3. If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...

    Text Solution

    |

  4. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

    Text Solution

    |

  5. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  6. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

    Text Solution

    |

  7. Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...

    Text Solution

    |

  8. The number of distinct real values of lambda , for which the vectors...

    Text Solution

    |

  9. Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...

    Text Solution

    |

  10. Let vec A be a vector parallel to the line of intersection of plan...

    Text Solution

    |

  11. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

    Text Solution

    |

  12. The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk an...

    Text Solution

    |

  13. The value of a so that the volume of parallelepiped formed by hat i...

    Text Solution

    |

  14. If vec a=( hat i+ hat j+ hat k), vec a. vec b=1a n d vec axx vec b= h...

    Text Solution

    |

  15. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

    Text Solution

    |

  16. If veca and vecb are two unit vectors such that veca + 2vecb and 5 vec...

    Text Solution

    |

  17. Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...

    Text Solution

    |

  18. If [axxb bxxc c xxa]=lambda[abc]^(2), then lambda is equal to

    Text Solution

    |

  19. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

    Text Solution

    |

  20. Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p...

    Text Solution

    |