be the points A(0,70") y B (1, n) in polar coordinates, two of the vertices of an equilateral triangle. Determine the Cartesian coordinates of the third vertex (there are two solutions). Problem 1 resources: polar to rectangular: rectangular to polar : x = rcos (0) r= vx' ty y = rsen(0) tan (0) = Note: remember that each internal angle of said triangle is 60 degrees and their sum must be 180 degrees. 2.0 2.- A street vendor sells a hamburgers, b hot dogs and c soft drinks in one day. He charges $2 for a hamburger, $1.50 for a hot dog, and $1 for a proper soda. If A= (a,b,c) and P= ( 2,1.5,1) , what is the meaning of dot product A-P? Problem 2 Resources Definition If a = (ajaza3) yb = (bjobz, by), ; then the dot product between a and b is the number a-b given by a . b = ajb1 + a2b2 + a3b3