Vector problem, linear algebra

[ice.rock]

hi ineed solution to this question, actually not entire solution, iknow that opp sides of reg hexagon are parallel and equal. what i need to know in part b) to find FO, how we are going to find it, how we can take ob equal to FA, and consider the directions as same too. thanks

 

[pka]

hi ineed solution to this question, actually not entire solution, iknow that opp sides of reg hexagon are parallel and equal. what i need to know in part b) to find FO, how we are going to find it, how we can take ob equal to FA, and consider the directions as same too. thanks

You know that \(\displaystyle \overrightarrow {FO} = \overrightarrow {AB} \) because \(\displaystyle \Delta FAO\) is equilateral.

 

[ice.rock]

but how to understand the direction

 

[Deleted member 4993]

You should know that the direction of \(\displaystyle \overrightarrow {FO}\) is from the point F → to the point O and the direction of \(\displaystyle \overrightarrow {AB}\) is from the point A → to the point B