Home
Class 12
MATHS
Using vectors, find the value of 'k' suc...

Using vectors, find the value of `'k'` such that the points `(k,-10,3),(1,-1,3)` and (3,5,3) are collinear.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos
  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Show that the points (-2,3,5), (1,2,3) and (7,0,-1) are collinear.

Show that the points (1, 1), (2, 3) and (3, 5) are collinear.

Show that the points A(1,2,7), B(2,6,3) and C(3,10,-1) are collinear.

Show that the points (-2, 3, 5), (1, 2, 3) and (7, 0, -1) are collinear.

Show that the points A(3,5,1), B(-1,0,8) and C(7,10,-6) are collinear.

Find k if the points (2,-3), (k , 1) and (0,4) are collinear.

By using determinants, find the value of 'y' for which the points (1,3),(2,5) and (3,y) are collinear.

Show that the points A(1,2,7), B(2,6,3) ਅਤੇ C(3,10,-1) are collinear.

MODERN PUBLICATION-VECTORS-Exercise
  1. The value of : hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) i...

    Text Solution

    |

  2. If theta is the angle between two vectors veca and vecb, then |veca*ve...

    Text Solution

    |

  3. Using vectors, find the value of 'k' such that the points (k,-10,3),(1...

    Text Solution

    |

  4. If A,B,C,D are the points with position vectors : hati+hatj-hatk,2hati...

    Text Solution

    |

  5. Parallelogram on equal bases and between the same parallels are equal ...

    Text Solution

    |

  6. Write all the unit vectors in XY-plane.

    Text Solution

    |

  7. Write down a unit vector in XY-plane, making an angle of 30^o with the...

    Text Solution

    |

  8. Find a vector of magnitude 5 units, and parallel to the resultant of t...

    Text Solution

    |

  9. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...

    Text Solution

    |

  10. If veca=2hati-hatj+hatk,vecb=hati+3hatj-hatk,vecc=-2hati+hatj-3hatk an...

    Text Solution

    |

  11. Show that the points A(1,-2,-8), B(5,0,-2) and C(11,3,7) are collinear...

    Text Solution

    |

  12. The two adjacent sides of a parallelogram are given by the vectors 2ha...

    Text Solution

    |

  13. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

    Text Solution

    |

  14. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  15. If veca,vecb,vecc are three non-coplanar vectors and vecd*veca=vecd*ve...

    Text Solution

    |

  16. If vecc is normal to veca and vecb, show that vecc is normal to veca+v...

    Text Solution

    |

  17. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

    Text Solution

    |

  18. Find the area of the parallelogram having diagonals veca+vecb and vecb...

    Text Solution

    |

  19. Prove that the quadrilateral obtained by joining mid-points of adjacen...

    Text Solution

    |

  20. Prove that 1/2 vec(AC)xxvec(BD) represents the vector area of the plan...

    Text Solution

    |