Home
Class 12
MATHS
If the position vector of a point A is v...

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

A

`2a-b`

B

`b-2a`

C

`a-3b`

D

b

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (TRUE AND FALSE ) |3 Videos
  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS ) |3 Videos
  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

Find the position vector of the point which divides 2vec a-3vec b and 3vec a-2vec b in the ratio 2:3

A point C=(3vec a+4vec b-5vec c)/(3) divides the line joining the points A=vec a-2vec b+3vec c and B in the ratio 2:1, then the position vector of B 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) .

A point C=(5vec a+4vec b-5vec c)/(3) divides the line joining the points A and B=2vec a+3vec b-4vec c in the ratio 2:1 then the position vector of A is

The position vectors of points A and B are vec a and vec b respectively.If P divides AB in 3 : 1 internally &Q is midpoint of AP then point vector of point Q is:

The position vector of the point which divides the join of points 2vec(a)-3vec(b) and vec(a)+vec(b) in the ratio 3:1 is

Find the position vector of a point R which divides the line joining the two points P and Q with position vectors vec OP=2vec a+vec b and vec OQ=vec a-2vec b, respectively in the ratio 1:2 internally and externally.

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

P and Q are two points with position vectors 3vec a-2vec b and vec a+vec b respectively.Write the position vector of a point R which divides the line segment PQ in the ratio 2:1 externally.

Find the position vector of a point R which divides the line segment joining P and Q whose position vectors are 2vec a+vec b and vec a-4vec b ,externally in the ratio 1:2, also show that P is the midpoint of the line segment RQ.