Home
Class 12
MATHS
If C is the middle point of AB and P is ...

If C is the middle point of AB and P is any point outside AB, then

A

`vec(PA) + vec(PB) + vec(PC)=0`

B

`vec(PA) + vec(PB) +2vec(PC)=0`

C

`vec(PA) + vec(PB) + vec(PC)`

D

`vec(PA) + vec(PB) = 2vec(PC)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|36 Videos

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (INTEGER TYPE)|4 Videos

  • VECTORS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

If C is the mid point of AB and P is any point outside AB then (A) vec(PA)+vec(PB)+vec(PC)=0 (B) vec(PA)+vec(PB)+2vec(PC)=vec0 (C) vec(PA)+vec(PB)=vec(PC) (D) vec(PA)+vec(PB)=2vec(PC)

If C is the mid point of AB and P is any point outside AB then (A) vec(PA)+vec(PB)+vec(PC)=0 (B) vec(PA)+vec(PB)+2vec(PC)=vec0 (C) vec(PA)+vec(PB)=vec(PC) (D) vec(PA)+vec(PB)=2vec(PC)

If C is the mid point of AB and P is any point outside AB then (A) vec(PA)+vec(PB)+vec(PC)=0 (B) vec(PA)+vec(PB)+2vec(PC)=vec0 (C) vec(PA)+vec(PB)=vec(PC) (D) vec(PA)+vec(PB)=2vec(PC)

In Delta ABC, D is the mid-point of AB and P is any point on BC. If CQ || PD meets AB and Q (shown in figure), then prove that ar (DeltaBPQ) = (1)/(2) ar (DeltaABC) .

AB is a vertical pole. The end A is on the level ground .C is the middle point of AB. P is a point on the level ground . The portion BC subtends an angles beta at P. If AP = nAB, then tan beta =

AB is a vertical pole. The end A is on the level ground .C is the middle point of AB. P is a point on the level ground . The portion BC subtends an angles beta at P. If AP = nAB, then tan beta =

In triangle ABC, D is mid-point of AB and P is any point on BC. If CQ parallel to PD meets AB at Q, prove that: 2 xx " area " (Delta BPQ) = " area "(Delta ABC)

In the adjoining figure (i) AB=BC, M is the mid -point of AB and N is the mid- point of BC. Show that AM=NC. (ii) BM=BN,M is the mid- point of AB and N is the mid - point of BC. Show that AB=BC.

AB is vertical tower. The point A is on the ground and C is the middle point of AB. The part CB subtend an angle alpha at a point P on the ground. If AP = nAB , then tan alpha =

ABC is a triangle in which AB = AC and D is any point on BC. Prove that: AB^(2)- AD^(2) = BD. CD

VMC MODULES ENGLISH-VECTORS -JEE MAIN (ARCHIVE)
  1. If (veca xx vecb)xx vec c=veca xx (vecb xx vec c), where veca, vecb a...

    Text Solution

    |

  2. The value of a, for which the points A, B, C with position vectors 2ha...

    Text Solution

    |

  3. If C is the middle point of AB and P is any point outside AB, then

    Text Solution

    |

  4. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

    Text Solution

    |

  5. If the vectors veca, vecb and vecc form the sides, BC , CA and AB, res...

    Text Solution

    |

  6. Let veca=veci-veck,vecb=xveci+vecj+(1-x)veck and vecc=yveci+xvecj+(1+x...

    Text Solution

    |

  7. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

    Text Solution

    |

  8. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

    Text Solution

    |

  9. The vector hati +xhatj+3hatk is rotated through an angle theta and is ...

    Text Solution

    |

  10. A particle acted upon by constant forces 4hati+hatj-3hatk and 3hati + ...

    Text Solution

    |

  11. If veca, vecb and vec are non-coplanar vectors and lamda is a real num...

    Text Solution

    |

  12. Given, two vectors are hati - hatj and hati + 2hatj, the unit vector c...

    Text Solution

    |

  13. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

    Text Solution

    |

  14. A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...

    Text Solution

    |

  15. If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^2)|=0 and vectors (1,a,a^2)...

    Text Solution

    |

  16. If vecu,vecv and vecw are three non coplanar vectors then (vecu+vecv-v...

    Text Solution

    |

  17. Consider points A,B,C annd D with position vectors 7hati-4hatj+7hatk,h...

    Text Solution

    |

  18. Let A(3,0,-1), B(2,10,6) and C(1,2,1) be the vertices of a triangle an...

    Text Solution

    |

  19. If a unit vector vec a makes angle pi//3 with hat i ,pi//4 with hat...

    Text Solution

    |

  20. Let a=hati + hatj + sqrt(2)hatk, b=b(1)hati + b(2)hatj + sqrt(2)hatk a...

    Text Solution

    |