Question

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

Solution

Correct option is

 

Using vector addition in ∆ABC, we have  

 

Clearly, AD is parallel to BC and AD = 2BC

  

In ∆ACD, we have

     

SIMILAR QUESTIONS

Q1

The position vectors of the vertices ABC of a âˆ†ABC are  respectively. The length of the bisector AD of the angle BAC where D is on the line segment BC, is     

Q2

 

Consider points ABC and D with position vectors 

 respectively. Then, ABCD is a   

Q3

If the vectors  are the sides of a âˆ†ABC, then length of the median through A is 

Q4

The sides of a parallelogram are  then the unit vector parallel to one of the diagonals is 

Q5

If the points  are collinear, where  are three non-coplanar vectors, the value of t is 

Q6

A vector coplanar with vectors  and parallel to the vector  

Q7

Let the coordinates of a point P with respect to a system of non-coplanar vectors  be (3, 2, 1). Then, the coordinates of P with respect to the system of vectors  and 

Q8

 

If (xyz) ≠ (0, 0, 0) and  

 then the values of a are

Q9

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?

Q10

In a regular hexagon ABCDEF, Then