Home
Class 12
MATHS
For what value of a the vectors 2 hat i-...

For what value of a the vectors `2 hat i-3 hat j+4 hat k\ a n d\ a hat i+6 hat j-8 hat k` are collinear?

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

For what value of a the vectors 2 hat i-\ 3 hat j+4 hat k and a hat i+6 hat j-8 hat k are collinear?

Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8 hat k are collinear.

Show that the vectors 2 hat i-3 hat j+4 hat k and -4 hat i+6 hat j-8 hat k are collinear.

If the vectors 3 hat i+m hat j+ hat k\ a n d\ 2 hat i- hat j-8 hat k are orthogonal, find mdot

Find the value of lambdadot If the vectors 2 hat i+lambda hat j+3 hat k\ a n d\ 3 hat i+2 hat j-4 hat k are perpendicular to each other.

The value of 'a' so that the vectors 2 hat(i) - 3hat(j) + 4hat(k) and a hat(i) + 6hat(j) - 8hat(k) are collinear

Find the value of ' p ' for which the vectors 3 hat i+2 hat j+9 hat k\ a n d\ hat i-2p hat j+3 hat k are parallel.

If points hat i+ hat j , hat i- hat j and p hat i+q hat j+r hat k are collinear, then

For what value of lambda are the vectores vec a=2 hat i+lambda hat j+ hat k\ a n d\ vec b= hat i-2 hat j+3 hat k perpendicular to each other?

If the vectors 3 hat i-2 hat j-4 hat k\ a n d\ 18 hat i-12 hat j-m hat k are parallel find the value of mdot

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Writhe the direction cosines of the vector hat i+2 hat j+3 hat kdot

    Text Solution

    |

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

    Text Solution

    |

  3. For what value of a the vectors 2 hat i-3 hat j+4 hat k\ a n d\ a hat ...

    Text Solution

    |

  4. Writhe the direction cosines of the vectors -2 hat i+ hat j-5 hat kdot

    Text Solution

    |

  5. Find the sum of the following vectors vec a= hat i-2 hat j ,\ vec b=...

    Text Solution

    |

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

    Text Solution

    |

  7. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Evaluate int\tan^2x\dx

    Text Solution

    |

  18. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |