A car has a position vector of 3.0 m with a direction of 45° clockwise from the north. Determine the components of the position vector along the x and y axes in the normal and tilted coordinate systems shown below.

• A. Normal coordinate system
  R_x = +2.1 m ; R_y = +2.1 m
  Tilted coordinate system
  R_x = +2.1 m ; R_y = +2.1 m
• B. Normal coordinate system
  R_x = +2.5 m ; R_y = 0 m
  Tilted coordinate system
  R_x = +2.5 m ; R_y = 0 m
• C. Normal coordinate system
  R_x = +2.1 m ; R_y = +2.1 m
  Tilted coordinate system
  R_x =+2.6 m ; R_y = +1.5 m
• D. Normal coordinate system
  R_x = 0 m ; R_y = +2.5 m
  Tilted coordinate system
  R_x = +1.5 m ; R_y = +2.6 m

Answer: (C)