Question

Let G be the centroid of âˆ† ABC. If  in terms of , is    

Solution

Correct option is

 

Let A be the origin. Then,  implies that the position vectors of B and C are  respectively. Let AD be the median andG be the centroid. Then,   

        

                                                                                 

SIMILAR QUESTIONS

Q1

The vector  lies in the plane of the vectors  bisects the angle between . Then , which one of the following gives the possible values of α and β?

Q2

If  are vectors forming consecutive sides of a regular hexagonABCDEF, then representing side CD is  

Q3

In a regular hexagon ABCDEF, Then   

Q4

If ABCDEF is a regular hexagon, then  equals 

Q5

If  are the position vectors of points ABCD such that no three of them are collinear and  then ABCD is a 

Q6

ABCDEF is a regular hexagon with centre at the origin such that  Then, λ equals 

Q7

ABCD is a parallelogram with AC and BD as diagonals. Then,   

Q8

If OACB is a parallelogram with 

Q9

If G is the intersection of diagonals of a parallelogram ABCD and O is any point, then   

Q10

 

The position vectors of the points ABC are ,

 respectively. These points