If a and b are position vector of two po...

If a and b are position vector of two points A,B and C divides AB in ratio 2:1, then position vector of C is

`(a+2b)/(3)`

`(2a+b)/(3)`

`(a+2)/(3)`

`(a+b)/(2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

VECTOR ALGEBRA
ARIHANT MATHS|Exercise VECTOR ALGEBRA EXERCISES 1: Single Option Correct Type Questions|1 Videos
VECTOR ALGEBRA
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|7 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)|18 Videos

Similar Questions

Explore conceptually related problems

If the position vector of a point A is vec a + 2 vec b and vec a divides AB in the ratio 2:3 , then the position vector of B, is

If vec a and vec b are the position vectors of A and B respectively, find the position vector of a Point C in BA produced such that BC = 1.5 BA.

If position vector of points A,B and C are respectively hati,hatj, and hatk and AB=CX , then position vector of point X is

A and B are two points. The position vector of A is 6b-2a. A point P divides the line AB in the ratio 1:2. if a-b is the position vector of P, then the position vector of B is given by

Find the position vector of a point, which divides the join of the points with position vectors veca-2vecb and 2 veca + vecb externally in the ratio 2 : 1 .

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

If the position vector of one end of the line segment AB be 2hati+3hatj-hatk and the position vector of its middle point be 3(hati+hatj+hatk) , then find the position vector of the other end.

Show, by vector method, that the angular bisector of a triangle are concurrent and find its expression for the position vector of the point of concurrency in terms of the position vectors of the vertices.

If the position vectors of the points A,B and C be a,b and 3a-2b respectively, then prove that the points A,B and C are collinear.

ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)

If the position vectors of the vertices A,B and C of a DeltaABC are 7h...
Text Solution
|
If a,b and c are the position vectors of the vertices A,B and C of the...
Text Solution
|
If a and b are position vector of two points A,B and C divides AB in r...
Text Solution
|
Find the position vector of the point which divides the join of the po...
Text Solution
|
If O is origin and C is the mid - point of A (2, -1) and B ( -4, 3) . ...
Text Solution
|
If the position vectors of the points A and B are hati+3hatj-hatk and ...
Text Solution
|
The position vectors of A and B are hati-hatj+2hatk and 3hati-hatj+3ha...
Text Solution
|
If the vector vecb is collinear with the vector vec a ( 2sqrt2,-1,4) a...
Text Solution
|
If vec a , vec b are the position vectors of the points (1,-1),(-2,m)...
Text Solution
|
The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+1...
Text Solution
|
The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk ...
Text Solution
|
If the points a+b,a-b and a+kb be collinear, then k is equal to
Text Solution
|
If the position vectors off A,B,C and D are 2hati+hatj,hati-3hatj,3hat...
Text Solution
|
If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, t...
Text Solution
|
If a and b are two non collinear vectors; then every vector r coplanar...
Text Solution
|
Four non-zero vectors will always be
Text Solution
|
The vectors a,b and a+b are
Text Solution
|
Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...
Text Solution
|
The number of integral values of p for which (p+1) hati-3hatj+phatk, p...
Text Solution
|
If the vectors AB=3hati+4hatk and AC=5hati-2hatj+4hatk are the sides o...
Text Solution
|