Home
Class 12
MATHS
If a,b and c are the position vectors of...

If a,b and c are the position vectors of the vertices A,B and C of the `DeltaABC`, then the centroid of `DeltaABC` is

A

`(a+b+c)/(3)`

B

`(1)/(2)(a+(b+c)/(2))`

C

`a+(b+c)/(2)`

D

`(a+b+c)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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 the position vector of the vertices A,B and C of a DeltaABC be (hati + 2hatj + 3hatk), (2hati + 3hatj + hatk) and (3hati + hatj +2hatk) respectively, prove that DeltaABC is equilateral.

If vec a,vec b,vec c are position vectors of the vertices of a triangle,then write the position vector of its centroid.

Let p be the position vector of orthocentre and g is the position vector of the centroid of DeltaABC , where circumcentre is the origin. If p=kg , then the value of k is

If the position vectors of the vertices A,B and C of a DeltaABC are 7hatj+10k,-hati+6hatj+6hatk and -4hati+9hatj+6hatk , respectively, the triangle is

A variable plane is at a distance k from the origin and meets the coordinates axes is A,B,C. Then the locus of the centroid of DeltaABC is

If A, B, C are the vertices of a triangle whose position vectros are vec a,vec b, vec c and G is the centroid of the DeltaABC, then overline(GA)+overline(GB)+overline(GC) =

If the angle A,B,C of a DeltaABC are in A.P then

The position vectors of vertices of DeltaABC are a,b,c and a*a=b*b=c*c=3. if [a b c]=0, then the position vectors of the orthocentre of DeltaABC is

If the plane 3x-2y-z-18=0 meets the coordinate axes in A,B,C then, the centroid of DeltaABC is

ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk ...

    Text Solution

    |

  13. If the points a+b,a-b and a+kb be collinear, then k is equal to

    Text Solution

    |

  14. If the position vectors of A,B,C and D are 2hati+hatj,hati-3hatj,3hat...

    Text Solution

    |

  15. If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, t...

    Text Solution

    |

  16. Theorem 1: If a and b are two non collinear vectors; then every vector...

    Text Solution

    |

  17. Four non zero vectors will always be a. linearly dependent b. linea...

    Text Solution

    |

  18. The vectors a,b and a+b are

    Text Solution

    |

  19. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

    Text Solution

    |

  20. The number of integral values of p for which (p+1) hati-3hatj+phatk, p...

    Text Solution

    |