Home
Class 11
MATHS
The position vectors A, B are bar(a), ba...

The position vectors A, B are `bar(a), bar(b)` respectively. The position vector of C is `(5bar(a))/3-bar(b)`. Then

A

C is outside the `DeltaOAB` but inside the angle OBA

B

C is outside the `DeltaOAB` but inside the angle BOA

C

C is outside the `DeltaOAB` but inside the angle COA

D

inside the triangle OAB

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - I|31 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos
  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

Similar Questions

Explore conceptually related problems

The P.V.'s of A, B are bar(a), bar(b) respectively. The P.V. of 'C' is -3bar(a)+5bar(b) then 'C' lies

The position vectors of A and B are bar(a) and bar(b) respectively. If C is a point on the line bar(AB) such that bar(AC)=5bar(AB) then find the position vector of C.

If the position vectors of A, B are 2a + 3b - c, 4a - b + 5c, then the position vector of midpoint of bar(AB) is

In Delta ABC, if bar(a), bar(b), bar(c) are position vectors of the vertices A, B, and C respectively, then prove that the position vector of the centroid G is (1)/(3) (bar(a) + bar(b) + bar(c))

Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are bar(a), bar(b), bar(c) and (bar(a)+bar(b)+bar(c))/4 respectively, then the position vector of the orthocentre of this triangle is

Let A, B, C, D be four points with position vectors bar(a)+2bar(b), 2bar(a)-bar(b), bar(a) and 3bar(a)+bar(b) respectively. Express the vectors bar(AC), bar(DA), bar(BA) and bar(BC) interms of bar(a) and bar(b) .

If the position vectors of the four points A, B, C, D are 2bar(a), bar(b), 6bar(b) and 2bar(a)+5bar(b) then ABCD is

Consider two points P and Q with position vectors bar(OP) = 3bar(a) - 2bar(b) and bar(OQ) = bar(a)+bar(b) . Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1 externally.

AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. A vector bar(a) has components 2p and 1 w.r.t a rectangular cartesian ...

    Text Solution

    |

  2. In a DeltaOAB The P.V.'s of A, B are bar(a), bar(b) respectively. The ...

    Text Solution

    |

  3. The position vectors A, B are bar(a), bar(b) respectively. The positio...

    Text Solution

    |

  4. If bar(a), bar(b), bar(c) are the position vectors of the vertices A, ...

    Text Solution

    |

  5. The equation to the altitude of the triangle formed by (1, 1, 1), (1, ...

    Text Solution

    |

  6. If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3...

    Text Solution

    |

  7. If the position vectors of A, B, C, D are 3bar(i)+2bar(j)+bar(k), 4bar...

    Text Solution

    |

  8. The lineas r = (6 - 6s) a + (4s - 4) b + (4 - 8s) c and r = (2t - 1) a...

    Text Solution

    |

  9. A point on the line passing through (1, 1, 1) and parallel to (1, -2, ...

    Text Solution

    |

  10. A line passing through the point A(3bar(i)+bar(j)-bar(k)) and parallel...

    Text Solution

    |

  11. The point of intersection of the line passing through bar(i)-2bar(j)-b...

    Text Solution

    |

  12. Statement-I : If two vectors are collinear then those vectors are copl...

    Text Solution

    |

  13. Statement-I : Two non zero, non collinear vectors are linearly indepen...

    Text Solution

    |

  14. The descending order of magnitudes of the vectors A=(i-j)/sqrt(2), B=b...

    Text Solution

    |

  15. If D, E, F are mid points of sides BC, CA, AB of triangle ABC and G is...

    Text Solution

    |

  16. Observe the following statements : Assertion (A) : Three vectors are...

    Text Solution

    |

  17. If the vector bar(a)=2bar(i)+3bar(j)+6bar(k) and bar(b) are collinear ...

    Text Solution

    |

  18. If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) ...

    Text Solution

    |

  19. If the points whose position vectors are 2bar(i)+bar(j)+bar(k), 6bar(i...

    Text Solution

    |

  20. Let bar(b)=bar(i)-2bar(j)+3bar(k), bar(a)=2bar(i)+3bar(j)-bar(k) and b...

    Text Solution

    |