Home
Class 12
MATHS
If vec a= hat i- hat j and vec b=- hat...

If ` vec a= hat i- hat j` and ` vec b=- hat j+2 hat k ,` find `( vec a-2 vec b)dot( vec a+ vec b)dot`

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=3 hat i-2 hat j+ka n d vec b=2 hat i-4 hat j-3k , find | vec a-2 vec b|dot

If vec a=3 hat i- hat j-2 hat k and vec b=2 hat i+3 hat j+ hat k , find ( vec a+2 vec b)xx(2 vec a- vec b)dot

If vec a=3 hat i- hat j-2 hat k\ a n d\ vec b=2 hat i+3 hat j+ hat k ,find ( vec a+2 vec b)xx(2 vec a- vec b)dot

If vec a= hat i- hat j\ a n d\ vec b=- hat j+ hat k find the projection of vec a\ on\ vec bdot

If vec a=3 hat i+4 hat j\ a n d\ vec b= hat i+ hat j+ hat k ,\ find the value of | vec axx vec b|dot

If vec a= hat i+3 hat j-2 hat k\ a n d\ vec b=- hat i+3 hat k ,\ find \ | vec axx vec b|dot

If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b=5 and vec ax vec b= vec c , then vec b is equal to

If vec a=2 hat i+ hat k ,\ vec b= hat i+ hat j+ hat k , find the magnitude of vec axx vec bdot

let vec a = 2hat i +3hat j and vec b = hat i +4hat j then find projection of vec a on vec b

If vec a= hat i+ hat j+ hat k and vec b= hat i-2 hat j+ hat k , then find vector vec c such that vec a . vec c=2 and vec axx vec c= vec bdot

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. Using analytical geometry, prove that the diagonals of a rhombus are ...

    Text Solution

    |

  2. If | vec a|=a and | vec b|=b , prove that ( vec a/(a^2)- vec b/(b^2))^...

    Text Solution

    |

  3. If vec a= hat i- hat j and vec b=- hat j+2 hat k , find ( vec a-2 ve...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Find vec adot vec b , when (i) vec a= hat i-2 hat j+ hat k and ve...

    Text Solution

    |

  7. For what value of lambda are the vector vec a and vec b perpendi...

    Text Solution

    |

  8. If vec a and vec b are two vectors such that | vec a|=4,| vec b|=3 a...

    Text Solution

    |

  9. Find the angles of a triangle whose vertices are A(0,-1,-2),B(3,1,4...

    Text Solution

    |

  10. Find the projection of vec b+ vec c on vec a , where vec a = 2 hat ...

    Text Solution

    |

  11. Find the values of x and y if the vectors vec a=3 hat i+x hat j...

    Text Solution

    |

  12. In a quadrilateral A B C D , prove that A B^2+B C^2+C D^2+D A^2=A C^2+...

    Text Solution

    |

  13. If vec a and vec b are two non-collinear unit vectors such that | ...

    Text Solution

    |

  14. If vec a , vec b are two vectors such that | vec a+ vec b|=| vec b...

    Text Solution

    |

  15. If vec c is perpendicular to both vec a and vec b , then prov...

    Text Solution

    |

  16. If vec a. vec a=0 and vec a. vec b=0, what can you conclude about th...

    Text Solution

    |

  17. If vec a , vec b , vec c are three non coplanar vectors such that ...

    Text Solution

    |

  18. If a vector vec a is perpendicular to two non-collinear vector vec b...

    Text Solution

    |

  19. If vec a+ vec b+ vec c= vec0 , show that the angle theta between the ...

    Text Solution

    |

  20. Let vec u , vec v and vec w be vector such vec u+ vec v+ vec w...

    Text Solution

    |