Home
Class 12
MATHS
If the vectors 10hati+3hatj,12hati-15hat...

If the vectors `10hati+3hatj,12hati-15hatj` and `a hati+11 hatj` are collinear a = …………..

A

`-8`

B

4

C

2

D

`-(82)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-A)|6 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-B)|4 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|5 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

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

If points hati+hatj, hati -hatj and p hati +qhatj+rhatk are collinear, then

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

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati-2hatj-4hatk are coplanar.

Find lambda if the vectors hati-hatj+hatk, 3hati-hatj+2hatk and hati+lambda hatj-3hatk are coplannar.

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

If the vectors hati-hatj+hatk,3hati+hatj+2hatk and hati+lambda hatj-3hatk are coplanar then find the value of lambda .

If the vectors 2hati-hatj+hatk,hati+2hatj-3hatk and 3hati+ahatj+5hatk are coplanar, the prove that a=-4.

If the vectors 4hati+11hatj+mhatk,7hati+2hatj+6hatk and hati+5hatj+4hatk are coplanar, then m is equal to

Show that the points with position vectors 5hati+6hatj+7hatk,7hati-8hatj+9hatk and 3hati+20hatj+5hatk are collinear.

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. If the vector vec(b) is collinear to the vector bar(a) and bar(a)=(2sq...

    Text Solution

    |

  2. ABCDEF is a regular hexagone. AB+AC+AD+AE+AF=lambda AD then lambda = …...

    Text Solution

    |

  3. If the vectors 10hati+3hatj,12hati-15hatj and a hati+11 hatj are colli...

    Text Solution

    |

  4. The direction of vector vec(b) is North-East and that vec( c ) is Nort...

    Text Solution

    |

  5. If bar(x)=(-1,4,-2),bar(y)=(-4,16,-8) then |bar(x)+bar(y)|…………|bar(x)|...

    Text Solution

    |

  6. The unit vector in the direction of the sum of the vectors (1, 1, 1),(...

    Text Solution

    |

  7. The vector 2hati+2hatj-hatk makes ………………measure of angles with the axe...

    Text Solution

    |

  8. The unit vector in the direction 6hati-2hatj+3hatk is ………….

    Text Solution

    |

  9. The unit vector parallel to the vecotr bar(a)-bar(b) is ……………. where...

    Text Solution

    |

  10. If bar(a)=(1,1,1),bar(b)=(4,-2,3) and bar( c )=(1,-2,1) then the vect...

    Text Solution

    |

  11. The unit vector in the opposite direction of bar(x)+bar(y)-2bar(z) is ...

    Text Solution

    |

  12. The vector with magnitude 17sqrt(2) and in the opposite direction of (...

    Text Solution

    |

  13. Out of the following …………. Is the unit vector in the direction of (3ha...

    Text Solution

    |

  14. The position vector of the point P is (4, 5, -3). The distance of the ...

    Text Solution

    |

  15. The position vector of a point A is (4, 2, -3). If the distance of the...

    Text Solution

    |

  16. vec(a)=hati+hatj+hatk,vec(b)=hati-hatj+hatk and vec( c )=hati+2hatj-...

    Text Solution

    |

  17. A(1, 1, 2), B(4, 3, 1) and C(2, 3, 5) are vertices of a triangle ABC. ...

    Text Solution

    |

  18. The position vectors of two points A and B are respectively 6vec(a)+2v...

    Text Solution

    |

  19. The position vectors of the vertices of triangle are 3hati+4hatj+5hatk...

    Text Solution

    |

  20. The angle between the unit vectors vec(a) and vec(b) is 2theta. Where ...

    Text Solution

    |