You have two points on a Cartesian plane. One point is $(x1,y1),$ and the other point is $(x2,y2).$ Write an expression for the distance between the two points. $($Hint: remember the distance formula from algebra class.$)$

Consider the following triangle:

In terms of a and $b,$ but not theta, write an expression to find the following:

the hypotenuse of the triangle

the sine of theta.

the cosine of theta.

Determine the expression for the total electric field of a dipole of charge $q,$ separated by a distance $d$ and centered at the origin of coordinates, as observed from an arbitrary location $(x,y).$ Your final expression should be a function of any of the parameters named above, as well as any physical constants.