-The dimensionality in this part is 1 by taking the value of K to be 7. Euclidean distance as metric is used in this part for there is no sense using tangential for 1 dimension picture.
-In this part the answer is 1 because we can depict the motion of the arms based only on one of the angles. As only one angle is needed to answer the other values(angles). In part B2 there was no such constraint(movement of box in horizantal direction only). This thing is also from part B3.
-The change is of the order of 10^-6 in this part. This irregularity shows that there is not much change wrt to the other parts.

-Also we have given the data for K = 2 also but the value of neighbourhood function is typically taken to be from 5 to 25. That is we ignored this graph.