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

The position vector of a point R which divides the line joining two points P and Q whose position vectors are `overset(^)i+2overset(^)j-overset(^)k and - overset(^)i+overset(^)j-overset(^)k` respectively, in the ratio `2:1` externally is

A

`-3overset(^)i-overset(^)k`

B

`3overset(^)i+overset(^)k`

C

`2overset(^)i+overset(^)j-overset(^)k`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos
  • VECTORS

    TARGET PUBLICATION|Exercise Critical Thinking|35 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

If the vectors 3overset(^)i+overset(^)j-5overset(^)k and aoverset(^)i+boverset(^)j-15overset(^)k are collinear, if

If the vectors 3overset(^)i+2overset(^)j-overset(^)k and 6overset(^)i-4xoverset(^)j+yoverset(^)k are parallel, then the value of x and y will be

If the vectors 5overset(^)i-xoverset(^)j+3overset(^)k and -3overset(^)i+2overset(^)j-yoverset(^)k are parallel, the value of x and y respectively are

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are hat i+2hat j-hat k and respectively,in the ratio 2:1(i) internally (ii) externally

The points with position vectors 20overset(^)i+poverset(^)j,5overset(^)i-overset(^)j and 10overset(^)i-13overset(^)j are collinear. The value of p is

If the vectors overset(^)i+2overset(^)k,overset(^)j+overset(^)k and lambda overset(^)i+mu overset(^)j collinear, then

If three points A,B,C are collinear, whose position vectors are overset(^)i-2overset(^)j-8overset(^)k,5overset(^)i-2overset(^)k and 11overset(^)i+3overset(^)j+7overset(^)k respectively, then the ratio in which B divides AC is

If vectors overset(^)i+overset(^)j+overset(^)k,overset(^)j-overset(^)i,overset(^)i+2overset(^)j+aoverset(^)k are coplanar, then a is equal to

If the position vectors of the point A,B,C be overset(^)i+overset(^)j,overset(^)i-overset(^)j and aoverset(^)i+boverset(^)j+coverset(^)k respectively then the point A,B,C are collinear if

TARGET PUBLICATION-VECTORS-Competitive Thinking
  1. If the orthocentre and centroid of a triangle are (-3,5,2) and (3,3,4)...

    Text Solution

    |

  2. L and M are two points with position vectors 2vec(a)-vec(b)andvec(a)+2...

    Text Solution

    |

  3. The position vector of a point R which divides the line joining two po...

    Text Solution

    |

  4. If 3barP+2barR-5barQ=bar0, then

    Text Solution

    |

  5. If three points A,B,C are collinear, whose position vectors are overse...

    Text Solution

    |

  6. Let square PQRS be a quadrilateral. If M and N are the mid-points of t...

    Text Solution

    |

  7. In DeltaABC,L,M,N are points on BC,CA,AB respectively, dividing them i...

    Text Solution

    |

  8. Let G be the centroid of a triangle ABC and O be any other point, then...

    Text Solution

    |

  9. If A, B, C are the vertices of a triangle whose position vectros are v...

    Text Solution

    |

  10. If bara=2overset(^)i+overset(^)j-overset(^)k,barb=overset(^)i+2overset...

    Text Solution

    |

  11. If bara=overset(^)i+overset(^)j+overset(^)k,barb=2overset(^)i+lambdaov...

    Text Solution

    |

  12. If bara is perpendicular to barb and barc,|bara|=2,|barb|=3,|barc|=4 ...

    Text Solution

    |

  13. If bara,barb,barc are mutually prependicular vectors having megnitudes...

    Text Solution

    |

  14. The value of [bara-barb,barb-barc,barc-bara], where |bara|=1,|barb|=5 ...

    Text Solution

    |

  15. The value of (bara-barb).[(barb-barc)xx(barc-bara)] is

    Text Solution

    |

  16. If a vector baralpha lie in plane barbeta and bargamma then which is c...

    Text Solution

    |

  17. If bara,barb,barcare three coplanar vectors, then [bara+barb" "barb+ba...

    Text Solution

    |

  18. If bara,barb,barc be any three non-coplanar vectors, then [bara+barb" ...

    Text Solution

    |

  19. Let barA=overset(^)i+overset(^)j+overset(^)k,barB=overset(^)i,barC=C1o...

    Text Solution

    |

  20. If the vectors 2overset(^)i-overset(^)j+overset(^)k,overset(^)i+2overs...

    Text Solution

    |