If G is The Intersection Of Diagonals Of A Parallelogram ABCD and O is Any Point, Then   

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Question

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

Solution

Correct option is

 

Taking O as the origin, let the position vectors of ABC and D be  respectively.   

In ∆OACG is the mid-point of AC

      

In ∆OBDG is the mid-point of BC.

  

Adding (i) and (ii), we get   

      

SIMILAR QUESTIONS

Q1

 

If (xyz) ≠ (0, 0, 0) and  

 then the values of a are

Q2

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?

Q3

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

Q4

In a regular hexagon ABCDEF, Then   

Q5

If ABCDEF is a regular hexagon, then  equals 

Q6

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

Q7

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

Q8

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

Q9

If OACB is a parallelogram with 

Q10

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