OABCDE is a regular hexagon. The points A and B have position vectors a and b respectively, referred to the origin O.
Find, in terms of a and b, the position vectors of C, D and E.
I've no idea how to do this. If I sketch a hexagon where will be C, D, E? And what are their position vectors?
Hello, geton!
is a regular hexagon.
The points and have position vectors and resp., relative to the origin O.
Find, in terms of and , the position vectors ofCode:A b-a B *- - - - -* / * \ a / * \ / * b \ / * \ O * - - - - * - - - - * C \ * c / \ * / e \ d * / \ * / *- - - - -* E D
We have: .
Let: .
Note that: .
Since is a regular hexgon,
. . Therefore: .
Since
. .
Since
. .