Home
Class 12
MATHS
The position vector of the point which d...

The position vector of the point which divides the join of points `2bar(a)-3bar(b)` and `bar(a)+bar(b)` in the ratio 3 : 1, is ………….

A

`(3bar(a)-2bar(b))/(4)`

B

`(7bar(a)-8bar(b))/(4)`

C

`(3bar(a))/(4)`

D

`(5bar(a))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

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

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )|171 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|17 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

If the unit bar(a),bar(b) and bar( c ) are coplanar then …………..

bar(a)xx[bar(a)xx(bar(a)xx bar(b))] = …………….

Obtain the coordinates of point which devides bar(AB) joining points A(1, 2, 1) and B(2, 1, -3) in ratio -1 : 2 from A.

The projection vector of bar(a) on bar(b) is ………….

If |bar(a)|=10,|bar(b)|=2 and bar(a).bar(b)=12 then the value of |bar(a)xx bar(b)| is …………

If |bar(a).bar(b)|=3 and |bar(a)xx bar(b)|=4 then the angle between bar(a) and bar(b) is ………………

[bar(a)xx bar(b)" "bar(a)xx bar( c )" "bar(d)] = …………….

The point which divides bar(AB) joining A(-1, 3, 5) and B(k, 2, 5) in ratio 2 : 1 is on line x = 2. Find value of k.

The position vectors of two points A and B are respectively 6vec(a)+2vec(b) and vec(a)-3bar(b) . If the point C divides AB internally in the ratio 3 : 2 then the position vector of C is ……………

|bar(a)|=2,|bar(b)|=3 and bar(a) and bar(b) are perpendicular to each other. The area of the triangle with vertices bar(0),bar(a)+bar(b) and bar(a)-bar(b) is ……………

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Objective type Questions)
  1. The vector in the direction of the vector vec(a)=bar(i)-2bar(j)+2bar(k...

    Text Solution

    |

  2. The position vector of the point which divides the join of points 2bar...

    Text Solution

    |

  3. The vector having initial and terminal points as (2, 5, 0) and (-3, 7,...

    Text Solution

    |

  4. The angle between two vectors a and b with magnitudes sqrt(3) and 4, r...

    Text Solution

    |

  5. Find the value of lambda such that the vectors bar(a)=2bar(i)+lambda b...

    Text Solution

    |

  6. The value of lambda for which the vectors 3bar(i)-6bar(j)+bar(k) and 2...

    Text Solution

    |

  7. The vectors from origin to the points A and B are bar(a)=2bar(i)-3bar(...

    Text Solution

    |

  8. bar(a)=2bar(i)-3bar(j)+2bar(k) and bar(b)=2bar(i)+3bar(j)+bar(k) are t...

    Text Solution

    |

  9. For any vector bar(a), the value of (bar(a)xx i)^(2)+(bar(a)xx j)^(2)+...

    Text Solution

    |

  10. If |bar(a)|=10,|bar(b)|=2 and bar(a).bar(b)=12 then the value of |bar(...

    Text Solution

    |

  11. The vectors lambda bar(i)+bar(j)+2bar(k),bar(i)+lambda bar(j)-bar(k) a...

    Text Solution

    |

  12. If bar(a),bar(b) and bar( c ) are unit vectors such that bar(a)+bar(b)...

    Text Solution

    |

  13. The projection vector of bar(a) on bar(b) is ………….

    Text Solution

    |

  14. If bar(a),bar(b) and bar( c ) are three vectors such that bar(a)+bar(b...

    Text Solution

    |

  15. If |bar(a)|=4 and -3le lambda le 2, then the range of |lambda. bar(a)|...

    Text Solution

    |

  16. The number of vectors of unit length perpendicular to the vectors bar(...

    Text Solution

    |

  17. The vector (bar(a)+bar(b)) bisects the angle between the non-collinear...

    Text Solution

    |

  18. If bar( r ).bar(a)=0,bar( r ).bar(b)=0 and bar( r ).bar( c )=0 for som...

    Text Solution

    |

  19. The vectors bar(a)=3bar(i)-2bar(j)+2bar(k) and bar(b)=-bar(i)-2bar(k) ...

    Text Solution

    |

  20. The values of k, for which |k.bar(a)|lt |bar(a)| and k.bar(a)+(1)/(2)b...

    Text Solution

    |