Home
Class 12
MATHS
If vec a and vec b are unit vectors su...

If ` vec a and vec b` are unit vectors such that `( vec a+ vec b).[(2 vec a+3 vec b)xx(3 vec a-2 vec b)]=0` , then angle between `veca` and ` vec b` is

Promotional Banner

Topper's Solved these Questions

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

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

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

If vec a and vec b are unequal unit vectors such that ( vec a- vec b)xx[( vec b+ vec a)xx(2 vec a+ vec b)]= vec a+ vec b , then angle theta between vec aa n d vec b is 0 b. pi//2 c. pi//4 d. pi

If vec a,vec b are two vectors such that vec a.vec b <0 and |vec a.vec b| = |vec axxvec b| then the angle between vec a and vec b is

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 .

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\ a n d\ vec b are two vectors such that | vec axx vec b|=sqrt3\ a n d\ vec adot vec b=1, find the angle between vec a\ a n d\ vec b .

If three unit vectors vec a , vec b , and vec c satisfy vec a+ vec b+ vec c=0, then find the angle between vec a and vec bdot

If | vec a|+| vec b|=| vec c| and vec a+ vec b= vec c , then find the angle between vec a and vec bdot

If vec a , a n d vec b are unit vectors , then find the greatest value of | vec a+ vec b|+| vec a- vec b|dot

If vec a and vec b are two vectors, then prove that ( vec axx vec b)^2=|[vec a.vec a,vec a.vec b],[vec b.vec a,vec b.vec b]| .

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Let vec a , vec ba n d vec c be three verctors such that vec a!=0...

    Text Solution

    |

  2. Find the area of a parallelogram whose diagonals are vec a=3 hat i+...

    Text Solution

    |

  3. If vec a and vec b are unit vectors such that ( vec a+ vec b).[(2 ve...

    Text Solution

    |

  4. If vec aa n d vec b are any two unit vectors, then find the greate...

    Text Solution

    |

  5. If the vectors vec a , vec b ,a n d vec c form the sidesB C ,C Aa n d...

    Text Solution

    |

  6. Let vec u be a vector on rectangular coordinate system with slopin...

    Text Solution

    |

  7. Two adjacent sides of a parallelogram A B C D are given by vec A B...

    Text Solution

    |

  8. Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equall...

    Text Solution

    |

  9. Given three vectors vec a , vec b ,a n d vec c two of which are non-c...

    Text Solution

    |

  10. Find the value of a so that the volume of the parallelepiped formed ...

    Text Solution

    |

  11. A1,A2,..., An are the vertices of a regular plane polygon with n sides...

    Text Solution

    |

  12. If c is a given non-zero scalar, and vec A and vec(B) are given ...

    Text Solution

    |

  13. A , B , Ca n dD are any four points in the space, then prove that | ...

    Text Solution

    |

  14. If a ,ba n dc are three non-cop0lanar vector, non-zero vectors then ...

    Text Solution

    |

  15. Let vec A=2 vec i+ vec k , vec B= vec i+ vec j+ vec kdot vec C = 4hat...

    Text Solution

    |

  16. Determine the value of c so that for all real x , vectors c x hat i-6 ...

    Text Solution

    |

  17. If vec r=x1( vec axx vec b)+x2( vec bxx vec c)+x3( vec cxx vec a) and...

    Text Solution

    |

  18. [( vec axx vec b)xx( vec bxx vec c)( vec bxx vec c)xx( vec cxx vec a)(...

    Text Solution

    |

  19. If V be the volume of a tetrahedron and V ' be the volume of another...

    Text Solution

    |

  20. vec a , vec ba n d vec c are three non-coplanar ,non-zero vectors an...

    Text Solution

    |