Home
Class 12
MATHS
If vec aa n d vec b are position vector...

If ` vec aa n d vec b` are position vectors of `Aa n dB` respectively, find the position vector of `a` point `ConB A` produced such that `B C=1. 5B Adot`

Text Solution

Verified by Experts

Since `OA=a` and `OB=b`
`∴BA=OA−OB=a−b`
And `1.5 BA=1.5(a−b)`
Since, `BC=1.5BA=1.5(a−b)`
...
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF MATRICES

    RD SHARMA|Exercise Solved Examples And Exercises|410 Videos
  • APPLICATION OF INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

If vec a and vec b are the position vectors of A and B respectively,then find the position vector of a point C in BA produced such that BC=1.5 BA.Also,it is shown by graphically.

If a and b are the position vectors of A and B respectively; find the position vector of a point C on BA produced such that BC=3/2BA.

If a and b are position vectors of A and B respectively the position vector of a point C on AB produced such that vec AC=3vec AB is

If veca and vecb are position vectors of A and B respectively, then the position vector of a point C in vec(AB) produced such that vec(AC) =2015 vec(AB) is

If vec a and vec b are position vectors of points A and B respectively,then find the position vector of points of trisection of AB

If vec a,vec b are the position vectors of A,B respectively,find the position vector of a point C in AB produced such that AC=3AB and that a point D in BA produced such that BD=2BA

If vec(a) and vec(b) are position vectors of the points A and B respectively, then what is the position vector of a point C on AB produced such that vec(AC) = vec(2AB) ?

If vec(b) and vec(c) are the position vectors of the points B and C respectively, then the position vector of the point D such that vec(BD) = 4 vec(BC) is

If vec(b) and vec(c ) are the position vectors of the points B and C respectively, then the position vector of the point D such that vec(BD)= 4 vec(BC) is

If vec a,vec b,vec c are position vectors of the vertices of a triangle,then write the position vector of its centroid.

RD SHARMA-ALGEBRA OF VECTORS-Solved Examples And Exercises
  1. Let vec a , vec b , vec c be the position vectors of three distinct p...

    Text Solution

    |

  2. If vec aa n d vec b are position vectors of points Aa n dB respective...

    Text Solution

    |

  3. If vec aa n d vec b are position vectors of Aa n dB respectively, fin...

    Text Solution

    |

  4. If vec c = 3vec a+4vec b and 2vec c =vec a -3vec b, show that (i) vec ...

    Text Solution

    |

  5. Find the position vectors of the points which divide the join of th...

    Text Solution

    |

  6. Let O be the centre of a regular hexagon A B C D E F . Find the sum of...

    Text Solution

    |

  7. For any two vectors vec aa n d vec b , prove that | vec a+ vec b|lt=|...

    Text Solution

    |

  8. IF P1, P2, P3, P4 are points in a plane or space and O is the origin o...

    Text Solution

    |

  9. Using vectors, find the value of lambda such that the points (lambda,...

    Text Solution

    |

  10. If vec a , vec b are any two vectors, then give the geometrical in...

    Text Solution

    |

  11. If vec P O+ vec O Q= vec Q O+ vec O R , show that the point, P ,Q ,R ...

    Text Solution

    |

  12. If the sum of two unit vectors is a unit vector, prove that the mag...

    Text Solution

    |

  13. If vec aa n d vec b are the vectors determined by two adjacent sides ...

    Text Solution

    |

  14. Vectors drawn the origin O to the points A , Ba n d C are respectively...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |