Home
Class 12
MATHS
The points with position vectors 60hati+...

The points with position vectors `60hati+3hatj,40hati-8hatj, 40hati-8hatj,ahati-52hatj` are collinear iff (A) `a=-40` (B) `a=40` (C) `a=20` (D) none of these

A

`-20`

B

40

C

`-40`

D

20

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-C)|6 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-D) Comprehesion-I|3 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-A)|50 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

If the points with position vectors 60hati+3hatj, 40 hati-8hatj and a hati - 52 hatj are collinear, then a =

IF the points with positon vectors 60hati+3hatj, 40hati-hata8j, ahati-52hatj are colinear, then prove that a=-40

The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+11hatj are collinear, if a is equal to

If the points with position vectors 20 hati + p hatj , 5 hati - hatj and 10 hati - 13 hatj are collinear, then p =

The points with position vectors alpha hati+hatj+hatk, hati-hatj-hatk, hati+2hatj-hatk, hati+hatj+betahatk are coplanar if

Show that the vectors 2hati -3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

Show that the points with position vectors hati+2hatj+7hatk, 2hati+6hatj+3hatk and 3hati+10hatj-hatk are collinear

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-B)
  1. Let A B C D be a p[arallelogram whose diagonals intersect at P and ...

    Text Solution

    |

  2. If a and b are position vectors of A and B respectively the position v...

    Text Solution

    |

  3. The points with position vectors 60hati+3hatj,40hati-8hatj, 40hati-8ha...

    Text Solution

    |

  4. veca,vecb,vecc are three non-coplanar such that veca + vecb + vecc = a...

    Text Solution

    |

  5. The position vector of three points are 2veca-vecb+3vecc, veca-2vecb+l...

    Text Solution

    |

  6. Let a,b,c be three distinct positive real numbers. If vecp,vecq,vecr l...

    Text Solution

    |

  7. Let veca and vecb are unit vectors inclined at an angle alpha to each ...

    Text Solution

    |

  8. A unit vector in the xy-plane that makes an angle of pi/4 with the vec...

    Text Solution

    |

  9. The vectors 2hati-lamdahatj+3lamdahatk and (1+lamda)hati-2lamdahatj+ha...

    Text Solution

    |

  10. Let veca,vecb and vecc are three vectors such that |veca|=3, |vecb|=3,...

    Text Solution

    |

  11. If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj...

    Text Solution

    |

  12. Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hat...

    Text Solution

    |

  13. find the area of a parallelogram whose diagonals are veca=3hati+hatj-2...

    Text Solution

    |

  14. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

    Text Solution

    |

  15. Let veca=2hati+2hatj+hatk and vecc is a vector such that |vecaxxvecc|^...

    Text Solution

    |

  16. ABCD is a quadrilateral with vec(AB) = veca, vec(AD) = vecb and vec(A...

    Text Solution

    |

  17. A unit vector perpendicular to the plane passing through the points w...

    Text Solution

    |

  18. If veca , vecb, vecc are the position vectors of the vertices. A,B,C ...

    Text Solution

    |

  19. If vecpxxvecq=vecr and vecp.vecq=c, then vecq is

    Text Solution

    |

  20. If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

    Text Solution

    |