Homework Assignment
Please complete your assignment in python 2.7. You may import any package for solving the problems. However clearly comment on the method and rationale for solving the problem.
Q1. A traveler is departing from point A toward point B with a constraint: the traveler must touch the horizontal line during the trip. What is the distance of shortest path for the traveler?
Q2. A traveler is departing point C toward point D.
Speed of the traveler is different for upper region(X Zone) and lower region(Y Zone): 1 m/min and 2m/min respectively.
What is the distance of shorted-time path?
Q3. Please illustrate the question using matplotlib in python 2.7
Vector is a vector whose 2-norm is 1.0. For example, in 2-dimension, ( 1/sqrt(2), -1/sqrt(2) ) is a unit vector.
A. How many uncorrelated unit vectors exist in 3-dimension?
("Two unit vectors are un-correlated" provided that the angle between two unit vectors is 45 degrees or larger. In the case of 2-dimension, there are eight such unit vectors.)
B. What if "uncorrelated" means the angle is 60 degrees or larger?
Need help with the following questions in python 2.7.