Home
Class 12
MATHS
If position vector of points A,B and C a...

If position vector of points A,B and C are respectively `hati,hatj, and hatk` and `AB=CX`, then position vector of point X is

A

`-hati+hatj+hatk`

B

`hati-hatj+hatk`

C

`hati+hatj-hatk`

D

`hati+hatj+hatk`

Text Solution

Verified by Experts

The correct Answer is:
A
`AB=Cx implies hatj-hati`= position vecto of point `X-hatk`
`therefore`Position vector of point `X=-hati+hatj+hatk`.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|7 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|3 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 3|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

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 4hati+ 7hatj+ 8hatk, 2hati+ 3hatj+ 4hatk and 2hati+ 5hatj+7hatk are the position vectors of the vertices A, B and C, respectively, of triangle ABC, then the position vector of the point where the bisector of angle A meets BC is

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 4 hati + 7 hat j + 8 hatk, 2 hati +3 hatj + 4 hatk and 2 hati + 5 hatj + 7 hatk are the position vectors of the vertices A, B and C respectively of triangle ABC . The position vector of the point where the bisector of angle A meets BC, is

If the position vectors of A and B respectively hati+3hatj-7hatk and 5 hati-2hatj+4hatk , then find AB

If the position vectors of the points A and B are hati+3hatj-hatk and 3hati-hatj-3hatk , then what will be the position vector of the mid-point of AB

If the position vectors of the points A and B are hati+3hatj-hatk and 3hati-hatj-3hatk, then what will be the position vectors of the mid point of AB

Iff the position vector of one end of the line segment AB be 2hati+3hatj-hatk and the position vecto of its middle point be 3(hati+hatj+hatk) , then find the position vector of the other end.

If ABCD is a parallelogram and the position vectors of A,B and C are hati+3hatj+5hatk, hati+hatj+hatk and 7 hati+7hatj+7hatk , then the poisitionn vector of D will be

ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. The position vectors of the points A,B and C are hati+2hatj-hatk,hati+...

    Text Solution

    |

  2. The position vectors of P and Q are 5hati+4hatj+ahatk and -hati+2hatj-...

    Text Solution

    |

  3. If position vector of points A,B and C are respectively hati,hatj, and...

    Text Solution

    |

  4. The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+...

    Text Solution

    |

  5. If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2...

    Text Solution

    |

  6. If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-2hat...

    Text Solution

    |

  7. If the position vectors of A and B are hati+3hatj-7hatk and 5hati-2hat...

    Text Solution

    |

  8. The direction cosines of vector a=3hati+4hatj+5hatk in the direction o...

    Text Solution

    |

  9. The direction cosines of the vector 3hati-4hatj+5hatk are

    Text Solution

    |

  10. The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk ...

    Text Solution

    |

  11. If the position vectors of the vertices A,B and C of a DeltaABC are 7h...

    Text Solution

    |

  12. If a,b and c are the position vectors of the vertices A,B and C of the...

    Text Solution

    |

  13. If a and b are position vector of two points A,B and C divides AB in r...

    Text Solution

    |

  14. Find the position vector of the point which divides the join of the po...

    Text Solution

    |

  15. If O is origin and C is the mid - point of A (2, -1) and B ( -4, 3) . ...

    Text Solution

    |

  16. If the position vectors of the points A and B are hati+3hatj-hatk and ...

    Text Solution

    |

  17. The position vectors of A and B are hati-hatj+2hatk and 3hati-hatj+3ha...

    Text Solution

    |

  18. If the vector vecb is collinear with the vector vec a ( 2sqrt2,-1,4) a...

    Text Solution

    |

  19. If vec a , vec b are the position vectors of the points (1,-1),(-2,m)...

    Text Solution

    |

  20. The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+1...

    Text Solution

    |