Home
Class 12
MATHS
Let ABC be a triangle whose circumcenter...

Let ABC be a triangle whose circumcenter is at P, if the positions vectors of A,B,C and P are `veca,vecb,vecc` and `(veca + vecb+vecc)/4` respectively, then the positions vector of the orthocenter of this triangle, is:

A

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

B

`a+b+c`

C

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

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

If veca , vecb, vecc are the position vectors of the vertices. A,B,C of a triangle ABC. Then the area of triangle ABC is

The vector area of triangle whose sides are veca,vecb,vecc is

If veca, vecb and vecc are position vectors of A,B, and C respectively of DeltaABC and if|veca-vecb|=4,|vecb-vec(c)|=2, |vecc-veca|=3 , then the distance between the centroid and incenter of triangleABC is

A, B, C and D have position vectors veca, vecb, vecc and vecd , repectively, such that veca-vecb = 2(vecd-vecc) . Then

Let A,B,C be vertices of a triangle ABC in which B is taken as origin of reference and position vectors of A and C are veca and vecc respectively. A line AR parallel to BC is drawn from A PR (P is the mid point of AB) meets AC and Q and area of triangle ACR is 2 times area of triangle ABC Position vector of R in terms veca and vecc is (A) veca+2vecc (B) veca+3vecc (C) veca+vecc (D) veca+4vecc

Let A,B,C be vertices of a triangle ABC in which B is taken as origin of reference and position vectors of A and C are veca and vecc respectively. A line AR parallel to BC is drawn from A PR (P is the mid point of AB) meets AC and Q and area of triangle ACR is 2 times area of triangle ABC Positon vector of Q for position vector of R in (1) is (A) (2veca+3vecc)/5 (B) (3veca+2vecc)/5 (C) (veca+2vecc)/5 (D) none of these

veca,vecb,vecc are the position vectors of vertices A, B, C respectively of a paralleloram, ABCD, ifnd the position vector of D.

If veca, vecb, vecc and veca', vecb', vecc' form a reciprocal system of vectors then [(veca', vecb', vecc')]=

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then:

IF veca, vecb, vecc are the position vectors of the vertices of an equilateral triangle whose orthocentre is at the origin, then

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

    Text Solution

    |

  2. In a triangle ABC , right angled at the vertex A , if the position vec...

    Text Solution

    |

  3. Let ABC be a triangle whose circumcenter is at P, if the positions vec...

    Text Solution

    |

  4. Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...

    Text Solution

    |

  5. The area (in sq units) of the parallelogram whose diagonals are along ...

    Text Solution

    |

  6. If b=3j+4k, is written as sum of a vector b(1) parallel to a=i+j and a...

    Text Solution

    |

  7. Let vec u be a vector coplanar with the vectors vec a = 2 hat i + 3 ha...

    Text Solution

    |

  8. If a, b and c are unit vectors such that a+2b+2c=0," then "abs(a times...

    Text Solution

    |

  9. If the position vectors of the vertices A,B and C of a triangleABC are...

    Text Solution

    |

  10. Let a=i+j+k, c=j-k and a vector b is such that a times b=c" and "a*b=3...

    Text Solution

    |

  11. Let alpha = (lambda-2) a ne b and beta =(4lambda -2)a + 3b be two give...

    Text Solution

    |

  12. Let sqrt(3i) + hatj , hati + sqrt(3j) and beta hati + (1- beta)hatj r...

    Text Solution

    |

  13. Let a= hat(i) + 2hat(j) + 4hat(k) " " b= hat(i) = lambda hat(j) +...

    Text Solution

    |

  14. Let a=hati - hatj, b=hati + hatj + hatk and c be a vector such that a ...

    Text Solution

    |

  15. Let veca = 2hati+(lambda)1hatj+3hatk , vec(b)=4hati+(3-(labda)2)hatj+6...

    Text Solution

    |

  16. Let a=hat(i)+hat(j)+sqrt(2)hat(k),b=b(1)hat(i)+b(2)hat(j)+sqrt(2)hat(...

    Text Solution

    |

  17. The sum of the distinct real values of mu for which the vectors, muha...

    Text Solution

    |

  18. Let a , b and c be three unit vectors out of which vectors b an...

    Text Solution

    |

  19. Let alpha=3i+j" and "beta=2i-j+3k." If "beta=beta(1)-beta(2), " where ...

    Text Solution

    |

  20. Let a=3hat(i) +2hat(j)+xhat(k) " and " b=hat(i)-hat(j) +hat(k) for s...

    Text Solution

    |