Home
Class 12
MATHS
The vector vec a\ a n d\ vec b satisfy...

The vector ` vec a\ a n d\ vec b` satisfy the equation `2 vec a+ vec b= vec p\ and vec a+2 vec b= vec q ,\ w h e r e\ vec p= hat i+ hat j\ a n d\ vec q= hat i- vec jdot` If `theta` is the angle between ` vec a\ a n d\ vec b"\ "` , then
a.`costheta=4/5` b. `sintheta=1/(sqrt(2))` c. `costheta=\ -4/5` d. `costheta=-3/5`

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

Find vec a +vec b if vec a = hat i - hat j and vec b =2 hat i

Find vec axx vec b ,\ if\ vec a=2 hat i+ hat k\ a n d\ vec b= hat i+ hat j+ hat kdot

Find [ vec a\ vec b\ vec c] , when : vec a=2 hat i-3 hat j ,\ vec b= hat i+ hat j- hat k\ a n d\ vec c=3 hat i- hat k .

Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i+3 hat j-2 hat k

Find a unit vector perpendicular to each of the vectors vec a+ vec b\ a n d\ vec a- vec b ,\ w h e r e\ vec a=3 hat i+2 hat j+2 hat k\ a n d\ vec b= hat i+2 hat j-2 hat kdot

Let vec a= hat i+2 hat ja n d vec b=2 hat i+ hat jdoti s |vec a|=| vec b|? Are the vectors vec a a n d vec b equal?

If | vec a|=2,\ | vec b|=7\ a n d\ vec axx vec b=3 hat i+2 hat j+6 hat k ,\ find the angle between vec a\ a n d\ vec bdot

Find the angle between the vectors vec a\ a n d\ vec b where: vec a= hat i- hat j\ a n d\ vec b= hat j+ hat k

Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b=4 hat i-4 hat j+7 hat k

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

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. Vectors vec a\ a n d\ vec b are such that | vec a|=3,\ | vec b|=2/3a...

    Text Solution

    |

  2. If vec a\ a n d\ vec b are unit vectors such that vec axx vec b is ...

    Text Solution

    |

  3. The vector vec a\ a n d\ vec b satisfy the equation 2 vec a+ vec b= ...

    Text Solution

    |

  4. If vec(a) . hat(i)= vec(a).(hat(i)+ hat(j)) = vec(a). ( hat(i) + hat(j...

    Text Solution

    |

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

    Text Solution

    |

  6. If vec a\ a n d\ vec b be two unit vectors and theta is the angle be...

    Text Solution

    |

  7. The vector cosalpha\ cosbeta hat i+cosalpha\ s inbeta hat j+sinalpha h...

    Text Solution

    |

  8. If the position vectors of P\ a n d\ Q are hat i+3 hat j-7 hat k\ a n...

    Text Solution

    |

  9. If vec a\ a n d\ vec b are unit vectors, then which of the following...

    Text Solution

    |

  10. If the vectors hat(i) - 2x hat(j) + 3 y hat(k) and hat(i) +2x hat(j) ...

    Text Solution

    |

  11. The vector component of vec b perpendicular to vec a is a.( vec bd...

    Text Solution

    |

  12. The length of the longer diagonal of the parallelogram constructed o...

    Text Solution

    |

  13. If vec(a) is a non zero vector of magnitude 'a' and lambda a non zero ...

    Text Solution

    |

  14. If theta is the angle between two vectors vec(a) and vec(b), then vec(...

    Text Solution

    |

  15. The value of x for which the angle between vec a=2x^2 hat i+4x hat ...

    Text Solution

    |

  16. If vec a ,\ vec b ,\ vec c are any time mutually perpendicular vect...

    Text Solution

    |

  17. If the vectors 3 hat i+lambda hat j+ hat k\ a n d\ 2 hat i- hat j+8 ha...

    Text Solution

    |

  18. The projection of the vector hat i+ hat j+ hat k along the vector ...

    Text Solution

    |

  19. The vectors 2 hat i+3 hat j-4 hat k\ a n d\ a hat i=b hat j+c hat k ar...

    Text Solution

    |

  20. If | vec a|=| vec b|,\ t h e n\ ( vec a+ vec b)dot( vec a- vec b)= a....

    Text Solution

    |