Home
Class 12
MATHS
Write a unit vector in the direction of ...

Write a unit vector in the direction of the sum of the vectors ` vec a=2 hat i+2 hat j-5 hat k\ a n d\ vec b=2 hat i+ hat j-7 hat kdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF MATRICES

    RD SHARMA ENGLISH|Exercise All Questions|410 Videos

  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos

Similar Questions

Explore conceptually related problems

Find the unit vector in the direction of the sum of the vectors, vec a=2 hat i+2 hat j-5 hat k and vec b=2 hat i+ hat j+3 hat k .

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

Find the unit vector in the direction of vec a+ vec b ,\ if\ vec a=2 hat i- hat j+2 hat k\ a n d\ vec b=- hat i+ hat j- hat kdot

Find the unit vector in the direction of the sum of the vectors 2 hat i+3 hat j- hat k and 4 hat i-3 hat j+2 hat kdot

Find a unit vector in the direction of the vector vec a=3 hat i-2 hat j+6 hat kdot

Write the direction cosines of the vector vec r=6 hat i-2 hat j+3 hat kdot

Find the unit vector in the direction of the vector vec a= hat i+ hat j+ 2 hat k .

Find a unit vector perpendicular to the plane containing the vectors vec a=2 hat i+ hat j+ hat k\ a n d\ vec b= hat i+2 hat j+ hat kdot

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

Find a vector magnitude 5 units, and parallel to the resultant of the vectors vec a=2 hat i+3 hat j- hat k and vec b= hat i-2 hat j+ hat kdot

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Find a unit vector in the direction of the vector vec a=3 hat i-2 hat...

    Text Solution

    |

  2. If vec a=x hat i+2 hat j-z hat k\ and vec b=3 hat i-y hat j+ hat k a...

    Text Solution

    |

  3. Write a unit vector in the direction of the sum of the vectors vec a=...

    Text Solution

    |

  4. Find the value of ' p ' for which the vectors 3 hat i+2 hat j+9 hat k\...

    Text Solution

    |

  5. Find a vector vec a of magnitude 5sqrt(2) making an angle of pi/4 wit...

    Text Solution

    |

  6. Write a unit vector in the direction of vec P Q ,\ w h e r e\ P\ a n ...

    Text Solution

    |

  7. Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k which...

    Text Solution

    |

  8. It | vec a|=4\ and-3lt=lambdalt=2, then write the range fo lambda |vec...

    Text Solution

    |

  9. In a triangle OAC, if B is the mid point of side AC and vec O A= vec ...

    Text Solution

    |

  10. If in a "Delta"A B C ,\ A=(0,0),\ B=(3,3sqrt(3)), C-=(-3sqrt(3),3) the...

    Text Solution

    |

  11. If vec a ,\ vec b are the vectors forming consecutive sides of a reg...

    Text Solution

    |

  12. Evaluate int\tan^2x\dx

    Text Solution

    |

  13. If points A(60 hat i+3 hat j),\ B(40 hat i-8 hat j)a n d\ C(a hat i-52...

    Text Solution

    |

  14. If G is the intersection of diagonals of a parallelogram A B C D and O...

    Text Solution

    |

  15. The vector cosalpha\ cosbeta hat i+cosalpha\ sinbeta hat j+sinalpha ha...

    Text Solution

    |

  16. In a regular hexagon A B C D E F ,\ A vec B=a ,\ B vec C= vec b\ a n d...

    Text Solution

    |

  17. The vector equation of the plane passing through vec a ,\ vec b , ve...

    Text Solution

    |

  18. If O\ a n d\ O^(prime) are circumcentre and orthocentre of \ A B C ,\ ...

    Text Solution

    |

  19. If vec a ,\ vec b ,\ vec c and vec d are the position vectors of p...

    Text Solution

    |

  20. Let G be the centroid of triangle\ A B Cdot If vec A B= vec a ,\ ve...

    Text Solution

    |