can somebody help me with this by giving me a hint how to solve these $2$ $?$:
Given
a point $P$ with coordinates $(10,4)$ in a fixed coordinate system.
a new coordinate system with origo in $(6,0)$ and rotated $60^{\circ}$ counterclockwise.
$1$) Find the coordinates of $P$ in the new coordinate system.
$2$) Write down the equation, that will transform any point $P=(x,y)$ in the fixed coordinate system to coordinates $P'=(x’,y’)$ in the new coordinate system.
This is what I have thought about: Finding the coordinates as projections and then I don't know because I don't understand what I have. Do I've $2$ coordinates$?$
When origin located at $O=(0,0)$: $P=(x_o,y_o)$
Location of new origin: $O'=(a,b)$
Point $P$ in new system: $P=(x_o,y_o)-(a,b)=(x_o-a,y_o-b)$