I'm not quite sure I follow you. I calculated the unit vector for T_bd as follows:
B: <1.9, 0, 2.5>
D: <1.9, 3.2, 0>
BD = D - B
BD = <0, 3.2, -2.5>
n_bd = <0, 3.2, -2.5> / (3.2^2 + 2.5^2)^.5
T_bd = n_bd * T_bd
T_bd = <0, .7880, -.6156>Am I messing up the initial values for B and D?