Home
Class 12
MATHS
A , B , P, Q and R are five point...

A , B , P, Q and R are five points in a plane. Show that the sum of the vectors AP → ,  AQ → ,  AR → ,  PB → ,  QB →  and  RB →  is 3  AB → .

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

Hydrogen peroxide is obtained by the electrolysis of ………

The value of the rate constant of a pseudo first order reaction ……… .

AD, BE and CF , the altitudes of triangle ABC are equal. Prove that ABC is an equilateral triangle.

 Falciform ligament connects

Let A be the set of the children in a family. The relation ‘x is a brother of y' relation on A is

When sodium peroxide is trated with the dilute sulphuric acid, we get……..

 Why does the rate of a reaction increase with rise in temperature?

In the presence of a catalyst, the heat evolved or absorbed during the reaction ………. .

The role of a catalyst is to change……….

 Trypsinogen is produced by

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Vectors drawn the origin O to the points A , Ba n d C are respectively...

    Text Solution

    |

  2. If vec aa n d vec b represent two adjacent sides vec A Ba n d vec B ...

    Text Solution

    |

  3. A , B , P, Q and R are five points in a plane. Show that the su...

    Text Solution

    |

  4. Let vec a , vec b , vec c , vec d be the position vectors of the four...

    Text Solution

    |

  5. Find a vector of magnitude 11 in the direction opposite to that of ve...

    Text Solution

    |

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

    Text Solution

    |

  7. If vec a is a position vector whose tip is (1,-3)dot Find the coordin...

    Text Solution

    |

  8. Find the coordinates of the tip of the position vector which is equ...

    Text Solution

    |

  9. Write all the unit vectors in X Y-p l a n edot

    Text Solution

    |

  10. Find a unit vector parallel to the vector 3 hat i+4 hat jdot

    Text Solution

    |

  11. If A ,B ,C have position vectors (2,0,0),(0,1,0),(0,0,2), show that ...

    Text Solution

    |

  12. If the points (-1,1,2),(2,m ,5)a n d(3,11 ,6) are collinear, find the ...

    Text Solution

    |

  13. If vec a=3 hat i-2 hat j+ka n d vec b=2 hat i-4 hat j-3k , find | vec...

    Text Solution

    |

  14. If the position vectors of the points A , B , C ,Da r e2 hat i+4 hat k...

    Text Solution

    |

  15. Represent graphically i. a displacement of 40 km, 30^0 west of south ...

    Text Solution

    |

  16. Classify the following measures as scalars and vectors a.10 kg b.10 m...

    Text Solution

    |

  17. Classify the following measures as scalars and vectors a.30 km / hr b...

    Text Solution

    |

  18. In a fig 23.4 (a square), identify the following vectors: i.Coinitial ...

    Text Solution

    |

  19. In fig 23.3, which of the vectors are: i.Collinear          ii. Equal ...

    Text Solution

    |

  20. Represent the following graphically: i.A displacement of 40 km, 30^0 ...

    Text Solution

    |