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

If `vec a,vec b,vec c` are unit vectors such that `vec a+vec b+ vec c= vec 0`, then the value of `vec a *vec b +vec b* vec c+ vec c*vec a` is equal to

A

1

B

3

C

`-3/2`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

If vec a, vec b, vec c are unit vectors such that vec a+ vec b+ vec c = vec 0 , then find the value of vec a* vecb + vec b* vec c +vec c* veca .

If vec aa n d vec b are two vectors such that | vec axx vec b|=2, then find the value of [ vec a vec b vec axx vec b]dot

If vec a+ vec b + vec c= 0 , show that vec axxvec b= vec bxx vec c= vec cxx vec a .

If vec a,vec b,vec c are three vectors such that vec a=vec b+vec c and the angle between vec b and vec c is pi/2, then

If vec a , vec b , vec c are unit vectors such that vec adot vec b=0= vec adot vec c and the angle between vec ba n d vec c is pi//3 , then the value of | vec axx vec b- vec axx vec c| is 1//2 b. 1 c. 2 d. none of these

If vec a, vec b, vec c are three vectors such that |quad vec a|=5,| , quad vec b|=12 and |quad vec c|=13 and if vec a+ vec b+ vec c= 0 , find the value of vec a* vec b + vec b* vec c + vec c* vec a .

If vec a , vec b , vec c are vectors such that vec adot vec b= vec adot vec c , vec axx vec b= vec axx vec c , vec a!= vec0, then show that vec b= vec c

If vec a , vec b , and vec c are three vectors such that vec axx vec b= vec c , vec bxx vec c= vec a , vec cxx vec a= vec b , then prove that | vec a|=| vec b|=| vec c| .

If vec a,vec b,vec c are any three vectors, prove that vec a xx (vec b xx vec c) +vec b xx(vec c xx vec a)+ vec c xx(vec a xx vec b) = vec 0

If vec a and vec b are any two vectors, show that |vec a xxvec b|^2= [[vec a*vec a,vec a*vec b],[vec a*vec b,vec b* vec b]] .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. The value of λ for which the vectors vec a= 2 hat i+λ hat j+hat kand v...

    Text Solution

    |

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

    Text Solution

    |

  3. The vector with initial point P(2,-3,5) and terminal point Q(3,-4,7) i...

    Text Solution

    |

  4. If vec a * vec a=0 thenvec a is a

    Text Solution

    |

  5. If vec a and vec b are proper vectors such that vec b= λ veca for some...

    Text Solution

    |

  6. For any two vectors vec a and vec b, which of the following is not tru...

    Text Solution

    |

  7. The area of the parallelogram whose adjacent sides are hat i+hat k and...

    Text Solution

    |

  8. If the vectors from the origin to the points A and B are . vec a= a ha...

    Text Solution

    |

  9. Given |quad vec a|=10,|quad vec b|=2 and vec a *vec b=12, find | vec a...

    Text Solution

    |

  10. Direction cosines of hat i are ‘

    Text Solution

    |

  11. The vectors -2 hat i+hat j +2 hatk, hat i+ λ hat j- hatk, 2hat i- hat...

    Text Solution

    |

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

    Text Solution

    |

  13. If |vec a|=8, |vec b|=3 and |vec axx vec b|=12, then the value of vec ...

    Text Solution

    |

  14. If the vectors 2hat j +hat k and 3 hat i- hat j +4 hatk represent the ...

    Text Solution

    |

  15. (hat i+hatj) xx (hat j+ hatk)*(hat k+ hat i) is equal to

    Text Solution

    |

  16. If vec a, vec b and sqrt(3)veca-vec b are Unit Vectors, then the angle...

    Text Solution

    |

  17. If |vec a|=8, |vec b|=3 and |vec axx vec b|=12, then the value of vec ...

    Text Solution

    |

  18. If ABC is any triangle and D is the midpoint of side [BC], then vec (...

    Text Solution

    |

  19. If vec b is a non-zero vector, then projection of vec a on vec b is

    Text Solution

    |

  20. If vec a is a unit vector Perpendicular to the vectors vec b= hat i -h...

    Text Solution

    |