Home
Class 12
MATHS
For any two vectors vec a and vec b , ...

For any two vectors ` vec a` and ` vec b` , show that : `( vec a+ vec b)dot( vec a- vec b)=0, when | vec a|=| vec b|dot`

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|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)=8\ a n d\ | vec a|=8| vec b|

For any tow vectors a\ a n d\ b show that ( vec a+ vec b) ( vec a- vec b)=0 if | vec a|=| vec b|dot

Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)=12\ a n d\ | vec a|=2| vec b|

Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)=13\ a n d\ | vec a|=2| vec b|

Find | vec a|a n d| vec b|,if( vec a - vec b)dot ( vec a+ vec b) =27 and | vec a|=2| vec b|dot

Find | vec a| and | vec b| , if ( vec a+ vec b)dot(( vec a- vec b))=8 and |vec a|=8 | vec b|

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

Prove that ( vec a- vec b)dot{( vec b- vec c)xx( vec c- vec a)}=0

For any two vectors vec aa n d vec b , prove that | vec a+ vec b|lt=| vec a|+| vec b| (ii) | vec a- vec b|lt=| vec a|+| vec b| (iii) | vec a- vec b|geq| vec a|-| vec b|

If vec b is a unit vector such that ( vec a+ vec b)dot ( (vec a- vec b))=8,\ find \ | vec a|dot

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-4 ha...

    Text Solution

    |

  2. If vec p=5 hat i+lambda hat j-3 hat k and vec q= hat i+3 hat j-5 hat...

    Text Solution

    |

  3. For any two vectors vec a and vec b , show that : ( vec a+ vec b)dot...

    Text Solution

    |

  4. Show that the vectors vec a=1/7(2 hat i+3 hat j+6 hat k), vec b=1/7(3...

    Text Solution

    |

  5. Let vec a=5 hat i- hat j+7 hat k and vec b= hat i- hat j+lambda hat ...

    Text Solution

    |

  6. If vec a and vec b are two vectors of the same magnitude inclined ...

    Text Solution

    |

  7. Decompose the vector 6 hat i-3 hat j-6 hat k into vectors which are pa...

    Text Solution

    |

  8. Express 2 hat i- hat j+3 hat k as the sum of vector parallel and a vec...

    Text Solution

    |

  9. Show that the vectors vec a=3 hat i-2 hat j+ hat k , vec b= hat i+3 h...

    Text Solution

    |

  10. (Projection Formulae) if a ,b ,c are the lengths of the sides opposite...

    Text Solution

    |

  11. Prove using vectors: If two medians of a triangle are equal, then it i...

    Text Solution

    |

  12. Find the angle between two vectors vec aa n d vec b with magnitudes s...

    Text Solution

    |

  13. Find the angle between the vectors 5hat i+3 hat j+4 hat k and 6 hat i...

    Text Solution

    |

  14. Find the projection of the vector 7 hat i+ hat j-4 hat kin vec a=2 hat...

    Text Solution

    |

  15. For any vector vec r , prove that vec r=( vec r . hat i) hat i+( vec...

    Text Solution

    |

  16. Find veca * vec b when vec a=2 hat i+2 hat j- hat ka n d vec b=6...

    Text Solution

    |

  17. Find the value of lambda so that the vectors vec a=2 hat i+lambda hat...

    Text Solution

    |

  18. Find the value of p for which the vectors vec a=3 hat i+2 hat j+9 ha...

    Text Solution

    |

  19. Find the values of ' a ' which the vector vec r=(a^2-4) hat i+2 hat j...

    Text Solution

    |

  20. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|...

    Text Solution

    |