is a regular hexagon with centre at the origin such that . Then, is equal to?
Explanation for the correct option:
Step-1: Draw a regular hexagon :
Now, from the figure, we can see
, [is the centre]
As,
[Opposite sides a regular hexagon are parallel to each other]
Thus,
[The length of a diagonal of a regular hexagon is equal to two times the length of the side]
Step- 2: Find the value of using vector addition:
…..(1)
Given that …..(2)
On comparing equation (1) and (2) we get
Hence, option ‘B’ is correct.