Home
Class 12
MATHS
Show that the points with position vecto...

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

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

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

The points with position vector 60 hati + 3 hatj, 40 hati - 8 hatj and a hati - 52 hatj are collinear if

Show that the points A(-2 hati+3 hatj+5 hatk) , B(hati+2 hatj+3 hatk) and C(7 hati-hatk) are collinear.

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

Show that the vectors 2 hati-hatj+hatk, hati-3 hatj-5 hatk and 3 hati-4 hatj-4 hatk form the vertices of a right-angled triangle.

Find the angle between the vectors hati-2 hatj+3 hatk and 3 hati-2 hatj+hatk

Area of a rectangle having vertices 'A, B, C' and 'D' with position vectors '-hati+1/2 hatj+4 hatk', 'hati+1/2 hatj+4 hatk, hati-1/2 hatj+4 hatk' and '-hati-1/2 hatj+4 hatk' respectively is

Find the sum of the vectors. veca=hati-2 hatj+hatk, vecb=-2 hati+4 hatj+5 hatk and vecc=hati-6 hatj-7 hatk

If the vectors 2hati + 2hatj + 6hatk, 2hati + 6hatj + 2hatk+ lambdahatj+6hatk and 2hati - 3hatj + hatk are coplanar, then the value of lambda is

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. If theta is the angle between any two vectors veca and vecb, then |vec...

    Text Solution

    |

  2. Prove that the Iine joining the midpoints of the two sides of a triang...

    Text Solution

    |

  3. Find the projection of vector hati-hatj on the vector hati+hatj

    Text Solution

    |

  4. Show that the line segment joining the midpoints of two 'sides of a t...

    Text Solution

    |

  5. If P=(2,4,7) and Q=(-4,-1,5), then find bar(PQ) and |bar(PQ)|

    Text Solution

    |

  6. i) Compute |hati+hatj+hatk| ii) If veca=2 hati+3 hatj+6 hatk, find th...

    Text Solution

    |

  7. Find a vector in the direction of the vector '-hati+2 hatj+2 hatk' tha...

    Text Solution

    |

  8. Find a unit vector parallel to the sum of vectors veca=2 hati+4 hatj-5...

    Text Solution

    |

  9. Find the condition that the vectors veca=k hati+3 hatj and vecb=4 hati...

    Text Solution

    |

  10. Lẹt 0 be the centre of the regular hexagon ABCDEF. Find the sum of the...

    Text Solution

    |

  11. Show that the diagonals of a quadrilateral bịsect each other if and on...

    Text Solution

    |

  12. Prove that the quadrilatral formed by joining the mid points of the si...

    Text Solution

    |

  13. Find the vector with initial point 'A(6,-2)' and terminal point 'B(4,8...

    Text Solution

    |

  14. The vectors of magnitude a, 2a, 3a meet at a point and their direction...

    Text Solution

    |

  15. Find the unit vector in the direction of vector 'vecP Q', where 'P' an...

    Text Solution

    |

  16. Find the còndition that the vectors veca=k hati+l hatj and vecb=l hati...

    Text Solution

    |

  17. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  18. Find the length of the medians of the triangle formed by A(4,2), B(1,...

    Text Solution

    |

  19. Show that the points with position vectors '2 hati+6 hatj+3 hatk, hati...

    Text Solution

    |

  20. Show that the four points A, B, C and D with position vectors veca, ve...

    Text Solution

    |