Consider the following three vectors, described here by their lengths and angles with respect to the x axis: A(vector): 5.0 cm, 30; B(vector): 7.5 cm,

Consider the following three vectors, described here by their lengths and angles with respect to the x axis: A(vector): 5.0 cm, 30º; B(vector): 7.5 cm, 0º; and C(vector): 10.0 cm, 350º. 

(a) Using the tip-to-tail graphical method for vector addition, show that the order in which these vectors are added does not change the final displacement, D(vector). That is, show that the following vector equation holds: D(vector) - (A(vector) + B(vector)) + C(vector) - A(vector) + (B(vector) + C(vector)). 

(b) Use your graph to estimate the length of D(vector)  and the angle it makes with the positive x axis.