Vector Calc Homework: Find Dv from Pr & Pt

[Alienufo736]

Homework Statement

Im not sure where exactly i should post this, but I am going to assume its here. basicaly what i am working on is programming a GPS tracking system inside a game. i have two GPS coordinates, one of the object that will be moving towards a stationary gps, and a stationary "target" GPS. I've figured out that it will be two points on a plane, what i need is the equation to find Dv or the direction to the Target GPS from the object GPS relative to the direction the object is facing . I've drawn a picture to assist myself in finding out exactly what i need to do.

Pr=Gps on object, the line that contains Pr represents the direction that the object is facing, Pt=Target Gps, Dv=Directional Vector, Theta = Angle to Pt, Ignore Dv+ and Dv- i simply put that there to say that one side of Pr will be negative and the other positive along Dv. what i need to know is how to get the value of Dv with an equation. The Large circle around Pr represents its rotational possibilities. Note Dv must always be perpendicular to the Line Pr is in (which represents the object)

2. The attempt at a solution
I think I've figured out how to get Theta, but i could be wrong:
X = Xr - Xt
Y = Yr - Yt
Theta = atan(Y,X)-Yaw

Yr and Yt being the Y values of Pr And Pt Respectively
Xr and Xt being the Y values of Pr And Pt Respectively
Yaw being the direction the object is facing relative to the world within -180 to 180 Degrees Any help would be appreciated, i hope i explained everything alright, if not, just ask, ill elaborate.

 

[member 553083]

Homework EquationsX = Xr - XtY = Yr - YtTheta = atan(Y,X)-YawThe AnswerThe equation you need to calculate the directional vector (Dv) is:Dv = (cos(Theta), sin(Theta))Where Theta is the angle between the Pr line and the Pt point, which you have calculated as:Theta = atan(Y,X)-YawTherefore, the equation for the directional vector (Dv) is:Dv = (cos(atan(Y,X)-Yaw), sin(atan(Y,X)-Yaw))