Home
Class 12
MATHS
If vec a and vec b be two non-collinear...

If ` vec a` and `vec b` be two non-collinear unit vector such that ` vec axx( vec axx vec b)=1/2 vec b ,` then find the angle between ` vec a` and `vec b`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If vec a , vec b and vec c are non-coplanar unit vectors such that vec axx( vec bxx vec c)=( vec b+ vec c)/(sqrt(2)) , then the angle between vec a and vec b is a. 3pi//4 b. pi//4 c. pi//2 d. pi

If vec a and vec b are two non-collinear unit vectors such that | vec a+ vec b|=sqrt(3), find (2 vec a-5 vec b). (3 vec a+ vec b) .

If vec a and vec b are two vectors such that | vec a|=4,| vec b|=3 and vec a . vec b=6 . Find the angle between vec a and vec b .

If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=3\ a n d\ vec adot vec b=1, find the angle between vec a\ a n d\ vec b .

If vec a\ a n d\ vec b are two vectors such that | vec a|=| vec axx vec b|, write the angle between vec a\ a n d\ vec bdot

If vec a\ a n d\ vec b are unit vectors such that vec axx vec b is also a unit vector, find the angle between vec a\ a n d\ vec bdot

If vec a and vec b are two vectors, such that vec a.vec b <0 and | vec a.vec b|=| vec axx vec b|, then the angle between vectors vec a and vec b is a. pi b. 7pi//4 c. pi//4 d. 3pi//4

If vec a\ a n d\ vec b are two non collinear unit vectors such that | vec a+ vec b|=sqrt(3),\ find \ (2 vec a-5 vec b). (3 vec a+ vec b)

Let vec aa n d vec b be two non-collinear unit vector. If vec u= vec a-( vec adot vec b) vec ba n d vec v= vec axx vec b ,t h e n| vec v| is | vec u| b. | vec u|+| vec udot vec a| c. | vec u|+| vec udot vec b| d. | vec u|+ hat udot| vec a+ vec b|

If vec(a) and vec(b) are two vectors such that |vec(a) xx vec(b)| = vec(a).vec(b) , then what is the angle between vec(a) and vec(b) .

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If vec a , vec b , and vec c be non-zero vectors such that no two ...

    Text Solution

    |

  2. If vec p , vec q , vec r denote vector vec bxx vec c , vec cxx vec a...

    Text Solution

    |

  3. If vec a and vec b be two non-collinear unit vector such that vec ...

    Text Solution

    |

  4. Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

    Text Solution

    |

  5. Prove that ( vec a.( vec bxx hat i)) hat i+( vec a.( vec bxx hat j)) h...

    Text Solution

    |

  6. For any four vectors, vec a , vec b , vec c and vec d prove that vec...

    Text Solution

    |

  7. If vec a , vec b, and vec c are three vectors such that vec axx ve...

    Text Solution

    |

  8. If vec a= vec p+ vec q , vec pxx vec b=0a n d vec qdot vec b=0, then ...

    Text Solution

    |

  9. If vec a= hat i+ hat j+ hat k and vec b= hat i-2 hat j+ hat k , then ...

    Text Solution

    |

  10. If non-zero vectors veca and vecb are perpendicular to each ot...

    Text Solution

    |

  11. If vec a , vec b , and vec c are mutually perpendicular vectors of ...

    Text Solution

    |

  12. If vec a , vec b , and vec c are unit vectors such that vec a+ vec b...

    Text Solution

    |

  13. If three unit vectors vec a , vec b , and vec c satisfy vec a+ vec b...

    Text Solution

    |

  14. If | vec a|+| vec b|=| vec c| and vec a+ vec b= vec c , then find the ...

    Text Solution

    |

  15. Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat ...

    Text Solution

    |

  16. If vec r. hat i= vec r.hat j= vec r.hat ka n d| vec r|=3, then find t...

    Text Solution

    |

  17. If vec a , vec b ,a n d vec c are non-zero vectors such that vec a...

    Text Solution

    |

  18. Find the projection of vector hat i+3 hat j+7 hat k on the vector ...

    Text Solution

    |

  19. If theta is th angle between the unit vectors a and b , then prove ...

    Text Solution

    |

  20. Let veca , vecb , and vecc be three non-coplanar unit vectors...

    Text Solution

    |