Home
Class 12
MATHS
Let the position vectors of the points A...

Let the position vectors of the points A, B and C be `vec(a),vec(b)andvec(c)` respectively. Let Q be the point of intersection of the medians of the triangle ABC. Then `vec(QA)+vec(QB)+vec(QC)=`

A

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

B

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

C

`vec(a)+vec(b)+vec(c)`

D

`vec(0)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MTG-WBJEE|Exercise WB JEE WORKOUT (Single Option Correct Type) (2 Mark)|15 Videos

  • VECTOR ALGEBRA

    MTG-WBJEE|Exercise WB JEE WORKOUT (One or More than One Option Correct Type) (2 Mark)|15 Videos

  • TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 2 : Single Option Correct Type (2 Mark))|3 Videos

Similar Questions

Explore conceptually related problems

If the position vectors of the points A(3,4),B(5,-6) and (4,-1) are vec a,vec b,vec c respectively compute vec a+2vec b-3vec c

Let position vectors of points A,B and C are vec a,vec b and vec c respectively.Point D divides line segment BCinternally in the ratio 2:1. Find vector vec AD.

The position vectors of the points A,B,C are vec a, vec b, vec c respectively. If 3 vec a + 2 vec c= 5 vecb , are the points A,B,and C collinear? If so find AB:BC .

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

The position vector of two points A and B are 6vec(a) + 2vec(b) and vec(a) - vec(b) . If a point C divides AB in the ratio 3:2 then shown that the position vector of C is 3vec(a) - vec(b) .

If vec(b) and vec(c) are the position vectors of the points B and C respectively, then the position vector of the point D such that vec(BD) = 4 vec(BC) is

If vec(b) and vec(c ) are the position vectors of the points B and C respectively, then the position vector of the point D such that vec(BD)= 4 vec(BC) is

If vec a,vec b and vec c are the position vectors of the vertices A,B and C respect ively,of bigoplus ABC , prove that the perpendicular distance of the vertedx A from the base BC of the triangle ABC is (|vec a xxvec b+vec b xxvec c+vec c xxvec a|)/(|vec c-vec b|)

If the position vectors of three points are vec a-2vec b+3vec c,2vec a+3vec b-4vec c,-7vec b+10vec c then the three points are

The position vector of A,B are vec a and vec b respectively.The position vector of C is (5(vec a)/(3))-vec b then