Home
Class 12
MATHS
Three vectors vec a ,\ vec b ,\ vec c...

Three vectors ` vec a ,\ vec b ,\ vec c` satisfy the condition ` vec a+ vec b+ vec c= vec0` . Evaluate the quantity `mu= vec adot vec b+ vec bdot vec c+ vec cdot vec a ,\ if\ | vec a|=1,\ | vec b|=4\ a n d\ | vec c|=2.`

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

Find | vec a- vec b|,\ if:| vec a|=3,\ | vec b|=4\ a n d\ vec adot vec b=1

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'

Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=3\ a n d\ vec adot vec b=4

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

For any three vectors vec a , vec b , vec c , prove that | vec a+ vec b+ vec c|^2=| vec a|^2+| vec b|^2+| vec c|^2+2( vec adot vec b+ vec bdot vec c+ vec cdot vec a)

If vec adot vec b= vec adot vec c\ a n d\ vec axx vec b= vec axx vec c ,\ vec a!=0, then

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 ,\ 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 three non-coplanar vectors, prove that [ vec a+ vec b+ vec c vec a+ vec b vec a+ vec c]=-[ vec a vec b vec c]

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. Let vec a ,\ vec b ,\ vec c be three vectors of magnitudes 3, 4 and...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

  20. Dot product of a vector with hat i+ hat j-3 hat k ,\ hat i+3 hat j-2...

    Text Solution

    |