Home
Class 12
MATHS
For any vector vec a\ a n d\ vec b pro...

For any vector ` vec a\ a n d\ vec b` prove that `| vec a+ vec b|lt=| 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

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|

For any two vectors vec a\ a n d\ vec b write when | vec a+ vec b|=| vec a|+| vec b| holds.

For any two vectors vec a and vec b , prove that (vec a xx vec b )^2= |vec a |^2 |vec b|^2 -(vec a. vec b)^2

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)

For any two vectors vec a\ a n d\ vec b , fin d\ ( vec axx vec b). vecbdot

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

What can you conclude about four non zero vectors vec a ,\ vec b ,\ vec c\ a n d\ vec d given that |( vec axx vec b)dot vec c|+|( vec bxx vec c)dot vec d|=0 .

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

If two vectors vec a\ a n d\ vec b are such that | vec a|=2,\ | vec b|=1\ a n d\ vec adot vec b=1, then find rthe value of (3 vec a-5 vec b)dot'(2 vec a+7 vec b)'dot

If two vectors vec a and vec b are such that | vec a|=2,| vec b|=1 and vec adot vec b=1 , find (3 vec a-5 vec b)dot(2 vec a+7 vec b)dot

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If vec a=5 hat i- hat j-3 hat k ,\ a n d\ vec b= hat i+3 hat j-5 hat...

    Text Solution

    |

  2. If vec a+ vec b+ vec c= vec0,\ vec|a|=3,\ | vec b|=5\ a n d\ | vec c...

    Text Solution

    |

  3. For any vector vec a\ a n d\ vec b prove that | vec a+ vec b|lt=| ve...

    Text Solution

    |

  4. For any two vectors vec a and vec b prove that ( veca dot vecb)^2le|...

    Text Solution

    |

  5. If vec a ,\ vec b ,\ are two vectors such that | vec a+ vec b|=| ve...

    Text Solution

    |

  6. The scalar product of the vector vec a= hat i+ hat j+ hat k with a un...

    Text Solution

    |

  7. If vec a ,\ vec b ,\ vec c are three vectors such that vec adot ve...

    Text Solution

    |

  8. Show that the vector 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k ,...

    Text Solution

    |

  9. Show that the points A, B, C with position vectors 2 hat i- hat j+ ...

    Text Solution

    |

  10. If with reference to a right handed system of mutually perpendicula...

    Text Solution

    |

  11. Find the value of x for which the angle between the vectors vec a=2x^...

    Text Solution

    |

  12. If l ,\ m ,\ n are scalars and vec a ,\ vec b ,\ vec c are vectors,...

    Text Solution

    |

  13. If vec a ,\ vec b ,\ vec c are three mutually perpendicular vectors...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |