QUESTION 7 Transforming a Vector from World Space to Local Space Choose one . 5 points A vector coordinate in world space is T = (1, 0, 2) , calculate the vector coordinate in body frame coordinate (rigid body) ro if the orientation of the rigid body is 90 about the global z-axis. Note: use To = Rt . T O NHO O OQUESTION 8 Transforming a Point from Local Space to World Space Choose one . 5 points A box is located at c = (2, 1, 0) with orientation of 90 degree about the global x-axis. Calculate the position Pworld of a point in world space if the point coordinate in local space is Plocal=(4,0, 2). Note : use Pworld = C + R . To O O NOAQUESTION 9 V Transforming a Point from World Space to Local Space . Choose one . 5 points A box is located at C= (1, 1, 0) with orientation of 90 degree about the global z-axis. Calculate the position Plocal of a point in in local space if the point coordinate in world space is Pworld = (3, 4, 6) Note : Use Plocal = Rt . (Pworld - C) O co -2 O 4 3