.. _vectorHW:

Python Numpy and Vector Homework
=================================

#. Consider two vectors.

   .. math:: \bm{a} = \begin{bmatrix}
                        3 \\ 8 
                      \end{bmatrix} \hspace{1in} \bm{b} = \begin{bmatrix}
                                                            -2 \\  5 
                                                          \end{bmatrix}

   a. Compute the dot product :math:`\bm{a} \cdot \bm{b}`.                                                  
   b. What is the length of vectors :math:`\bm{a}` and :math:`\bm{b}`.                                                  
   c. What is the angle between :math:`\bm{a}` and :math:`\bm{b}` in degrees?


#. What Python command creates a numpy array of a :math:`3{\times}3` identity
   matrix?

#. If `x` holds a numpy one dimensional array of length 5, what Python
   command will convert it to a column vector?