Home
Class 11
MATHS
If the points A(bar(a)), B(bar(b)), C(ba...

If the points `A(bar(a)), B(bar(b)), C(bar(c))` satisfy the relation `3bar(a)-8bar(b)+5bar(c)=bar(0)` then the points are

A

coplanar

B

noncoplanar

C

collinear

D

vertices of a right angled triangle

Text Solution

Verified by Experts

The correct Answer is:
C
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

If bar(a)+bar(b)+bar(c)=bar(0) then prove that bar(a)xxbar(b)=bar(b)xxbar(c)=bar(c)xxbar(a) .

Show that the line joining the pair of points 6bar(a)-4bar(b)+4bar(c ), -4bar(c ) and the line joining the pair of points, -bar(a)-2bar(b)-3bar(c ), bar(a)+2bar(b)-5bar(c ) intersect at the point -4bar(c ) when bar(a),bar(b),bar(c ) are non-coplanar vectors.

If bar(a), bar(b), bar(c) are noncoplanar, find the point of intersection of the line passing through the points 2bar(a)+3bar(b)-bar(c), 3bar(a)+4bar(b)-2bar(c) with the line joining the points bar(a)-2bar(b)+3bar(c) and bar(a)-6bar(b)+6bar(c) .

Let bar(a), bar(b), bar(c ) be unit vectors, suppose that bar(a). bar(b) = bar(a). bar(c )= 0 and the angle between bar(b) and bar(c ) is pi//6 then show that bar(a)= +-2 (bar(b) xx bar( c))

Show that the points A(2bar(i)-bar(j)+bar(k)), B(bar(i)-3bar(j)-5bar(k)), C(3bar(i)-4bar(j)-4bar(k)) are the vertices of a right angled triangle.

AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. If bar(a)=bar(i)+bar(j)+bar(k), bar(b)=4bar(i)+3bar(j)+4bar(k), bar(c)...

    Text Solution

    |

  2. If bar(a)=2bar(i)-bar(j)+3bar(k), bar(b)=-bar(i)+4bar(j)-2bar(k), bar(...

    Text Solution

    |

  3. If the points A(bar(a)), B(bar(b)), C(bar(c)) satisfy the relation 3ba...

    Text Solution

    |

  4. If xbar(a)+ybar(b)+zbar(c),xbar(b)+ybar(c)+zbar(a),xbar(c)+ybar(a)+zba...

    Text Solution

    |

  5. If bar(r)=3bar(i)+2bar(j)-5bar(k), bar(a)=2bar(i)-bar(j)+bar(k), bar(b...

    Text Solution

    |

  6. The vector of magnitude 3sqrt(6) along the bisector of the angle betwe...

    Text Solution

    |

  7. The vector abar(i)+b""bar(j)+cbar(k) is a bisector of the angle betwee...

    Text Solution

    |

  8. If the vector -bar(i)+bar(j)-bar(k) bisects the angles between the vec...

    Text Solution

    |

  9. If A(1, -1, -3), B(2, 1, -2), C(-5, 2, -6) are the vertices of a Delta...

    Text Solution

    |

  10. The median AD of the triangle ABC is bisected at E. BE meets AC in F t...

    Text Solution

    |

  11. If S is the circumcentre, G the centroid, O the orthocentre of Delta A...

    Text Solution

    |

  12. If S is the circumcentre, O is the orthocentre of Delta ABC then vec(O...

    Text Solution

    |

  13. The P.V.'s of the vertices of a DeltaABC are bar(i)+bar(j)+bar(k), 4ba...

    Text Solution

    |

  14. The P.V.'s of the vertices of a triangle are 2bar(i)+3bar(j)+4bar(k), ...

    Text Solution

    |

  15. DeltaABC be an equilateral triangle whose orthocentre is the origin 'O...

    Text Solution

    |

  16. The P.V.'s of A, B, C are bar(i)+bar(j)+bar(k), 4bar(i)+bar(j)+bar(k),...

    Text Solution

    |

  17. In a DeltaABC, P.V.'s of midpoints of AB, AC are bar(i)-bar(j)+bar(k),...

    Text Solution

    |

  18. The vectors of bar(AB)=3bar(i)+4bar(k) and bar(AC)=5bar(i)-2bar(j)+4ba...

    Text Solution

    |

  19. If D, E, F are the midpoints of BC, CA, AB of Delta ABC, then vec(A)D ...

    Text Solution

    |

  20. If D, E and F are respectively the mid-points of AB, AC and BC in Delt...

    Text Solution

    |