Question

if the five consecutive sides of regular hexagon represent five unit vectors acting in the same sense anticlockwise find the resultant vector​

Answer 1

Answer:

Resultant of first five consecutive unit vectors of Hexagon will be equal to negative of sixth unit vector

Step-by-step explanation:

Data:

Let ABCDEF Hexagon in which internal angle between two sides is 120°

and every side represent the unit vector that is

AB denote the unit vector from point A to B and similarly for others

and

║AB║= ║BC║ = ║CD║ = ║DE║ = ║EF║ =║FA║ = 1

Required:

Resultant of first five consecutive unit vectors of Hexagon have to find that is

AB + BC + CD + DE = ?

Solution:

we know that

Sum all vector which form the closed figure = Zero vector      

In our case

     AB + BC + CD + DE + EF = 0                        Here 0 = zero vector

⇒          AB + BC + CD + DE  = - EF  

So

Resultant of first five consecutive unit vectors of Hexagon will be equal to negative of sixth unit vector