Question

If  are the position vectors of A, B respectively and C is a point on AB produced such that AC = 3 AB, then the position vector of C is 

Solution

Correct option is

 

Le the position vector for C be .  

Clearly, B divides AC internally in the ratio 1 : 2 

SIMILAR QUESTIONS

Q1

If ABCD is a rhombus whose diagonals cut at the origin O, then  equals

Q2

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

Q3

If the sum of two unit vectors is a unit vector, then the magnitude of their difference, is

Q4

The non-zero vectors  are related by . Then the angle between 

Q5

If ABCDEF is a regular hexagon with 

Q6

Let  be the angle bisector of A of ∆ABC such that  then

Q7

Let D, E, F be the middle points of the sides BC, CA, AB respectively of a triangle ABC. Then,  equals

Q8

If G is the centroid of a triangle ABC, then  equals 

Q9

Let ABC be a triangle having its centroid at G. If S is any point in the plane of the triangle, then 

Q10

If O and O denote respectively the circum-centre and orthocentre of∆ABC, then