Home
Class 12
MATHS
If points A(60 hat i+3 hat j),\ B(40 hat...

If points `A(60 hat i+3 hat j),\ B(40 hat i-8 hat j)a n d\ C(a hat i-52 hat j)` are collinear, then a is equal to
a.`40` b. `-40` c. `20` d. -20

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

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

If the points with position vectors 60 hat i+2 hat j , 40 hat i-8 hat j and a hat i-52 hat j are collinear, find the value of adot

Show that the points A(-2 hat i+3 hat j+5 hat k), B( hat i+2 hat j+3 hat k) and C(7 hat i- hat k) are collinear.

If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 hat j and a hat i+11 hat j are collinear, find the value of adot

If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 hat j and a hat i+11 hat j are collinear, find the value of adot

If the vectors vec a=2 hat i-3 hat j\ a n d\ vec b=-6 hat i+m hat j are collinear, find the value of m

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.

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?

If three points A ,\ B ,\ a n d\ C have position vectors hat i+x hat j+3 hat k ,\ 3 hat i+4 hat j+7 hat k\ a n d\ y hat i-2 hat j-5 hat k respectively are collinear, them (x , y)= a. (2,-3) b. (-2,3) c. (-2,-3) d. (2,3)

If the vectors 4 hat i+11 hat j+m hat k ,\ 7 hat i+2 hat j+6 hat k\ a n d\ hat i+5 hat j+4 hat k are coplanar then m= 38 b. "\ "10"\ " c. -1 d. -10

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Find a vector vec a of magnitude 5sqrt(2) making an angle of pi/4 wit...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Evaluate int\tan^2x\dx

    Text Solution

    |

  9. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If A B C D E F is a regular hexagon, them vec A D+ vec E B+ vec F C e...

    Text Solution

    |

  18. The position vectors of the points A ,\ B ,\ C are 2 hat i+ hat j- hat...

    Text Solution

    |

  19. If three points A ,\ B ,\ a n d\ C have position vectors hat i+x hat ...

    Text Solution

    |

  20. A B C D isa parallelogram with A C\ a n d\ B D as diagonals. Then, ve...

    Text Solution

    |