#------------------------------------------------------------------------------
# VectorStub.py
#------------------------------------------------------------------------------
"""
This module provides functions to perform standard vector operations.  Vectors
are represented as tuples of numbers (floats or ints).  Functions that take two 
vector arguments will raise a ValueError() exception if the two vectors are of
different dimensions.  
"""
#------------------------------------------------------------------------------
# import library modules
#------------------------------------------------------------------------------


#------------------------------------------------------------------------------
# function definitions
#------------------------------------------------------------------------------

# add() -----------------------------------------------------------------------
def add(u, v):


# end add() -------------------------------------------------------------------


# negate() --------------------------------------------------------------------
def negate(u):

# end negate() ----------------------------------------------------------------   


# sub() -----------------------------------------------------------------------
def sub(u, v):

# end sub() -------------------------------------------------------------------


# scalarMult() ----------------------------------------------------------------
def scalarMult(c, u):

# end scalarMult() ------------------------------------------------------------


# hadamard() ------------------------------------------------------------------
def hadamard(u, v):

# end hadamard() --------------------------------------------------------------


# dot() -----------------------------------------------------------------------
def dot(u, v):

# end dot() -------------------------------------------------------------------


# length() --------------------------------------------------------------------
def length(u):

# end length() ----------------------------------------------------------------


# dim() -----------------------------------------------------------------------
def dim(u):

# end dim() -------------------------------------------------------------------


# unit() ----------------------------------------------------------------------
def unit(v):

# end unit() ------------------------------------------------------------------


# angle() ---------------------------------------------------------------------
def angle(u, v):

# end angle() -----------------------------------------------------------------


# randVector() ----------------------------------------------------------------
def randVector(n, a, b):

# end randomVector() ----------------------------------------------------------