Home
Class 12
MATHS
If vec a ,\ vec b ,\ vec c are unit v...

If ` vec a ,\ vec b ,\ vec c` are unit vectors such that ` vec a+ vec b+ vec c= vec0` find the value of ` vec adot vec b+ vec bdot vec c+ vec cdot vec adot'

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos

  • SCALAR TRIPLE PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|76 Videos

Similar Questions

Explore conceptually related problems

If vec a , vec b ,a n d vec c are unit vectors such that vec a+ vec b+ vec c=0, then find the value of vec adot vec b+ vec bdot vec c+ vec cdot vec adot

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

If vec a , vec b , vec c are unit vectors such that vec a+ vec b+ vec c= vec0, then write the value of vec a . vec b+ vec b . vec c+ vec c . vec a

If veca , vec b , vec c are three vectors such that veca+ vec b+ vec c= vec0 , then prove that vec axx vec b= vec bxx vec c= vec cxx vec a

If vec(a) , vec( b) and vec( c ) are unit vectors such that vec(a) + vec(b) + vec( c) = 0 , then the values of vec(a). vec(b)+ vec(b) . vec( c )+ vec( c) .vec(a) is

Let vec a , vec b , vec c be the three unit vectors such that vec a+5 vec b+3 vec c= vec0 , then vec a. ( vec bxx vec c) is equal to

If vec a ,\ vec b ,\ vec c are three vectors such that vec adot vec b= vec adot vec c then show that vec a=0\ or ,\ vec b=c\ or\ vec a_|_( vec b- vec c)dot

If vec a , vec b , vec c are unit vectors such that vec a. vec b=0= vec a. vec c and the angle between vec b and vec c is pi/3, then find the value of | vec axx vec b- vec axx vec c| .

If vec a , vec b , vec c are three unit vectors such that vecaxx vec b= vec c , vec bxx vec c= vec a, vec cxx vec a= vec b . Show that vec a , vec b , vec c from an orthonormal right handed triad of unit vectors.

If vec a ,\ vec b ,\ vec c are three unit vecrtors such that vec axx vec b= vec c ,\ vec bxx vec c= vec a ,\ vec cxx vec a= vec b Show that vec a ,\ vec b ,\ vec c form an orthonormal right handed triad of unit vectors.

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If vec a ,\ vec b ,\ vec c are three mutually perpendicular vectors...

    Text Solution

    |

  2. Let vec a ,\ vec b ,\ vec c be three vectors of magnitudes 3, 4 and...

    Text Solution

    |

  3. If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b...

    Text Solution

    |

  4. Three vectors vec a ,\ vec b ,\ vec c satisfy the condition vec a+...

    Text Solution

    |

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

    Text Solution

    |

  6. Find vec adot vec b when: vec a= hat j+2 hat k\ a n d\ vec b=2 hat ...

    Text Solution

    |

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

    Text Solution

    |

  8. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

    Text Solution

    |

  9. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

    Text Solution

    |

  10. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

    Text Solution

    |

  11. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

    Text Solution

    |

  12. If vec a\ a n d\ vec b are two vectors such that | vec a|=4,\ | vec ...

    Text Solution

    |

  13. If vec a= i- j and vec b=- j+2k ,find (vec a-2 vec b)dot( vec a+ v...

    Text Solution

    |

  14. Find the angle between the vectors vec a\ a n d\ vec b where: vec a...

    Text Solution

    |

  15. Find the angle between the vectors vec a\ a n d\ vec b where: vec a...

    Text Solution

    |

  16. Find the angle between the vectors vec a\ a n d\ vec b where: vec a...

    Text Solution

    |

  17. Find the angle between the vectors vec a\ a n d\ vec b where: vec a...

    Text Solution

    |

  18. Find the angle between the vectors vec a\ a n d\ vec b where: vec a...

    Text Solution

    |

  19. Find the angle between the vectors vec a\ a n d\ vec b where: vec a...

    Text Solution

    |

  20. Find the angles which the vector vec a= hat i- hat j+sqrt(2) hat k ma...

    Text Solution

    |