Vector¶
Vector is an entity that has an magnitude and orientation.
Magintude¶
It is just the L2 norm of a vector. $\( |\vec{A}| = \sqrt{\sum A_i^2} \)$
Similar vectors¶
Two vectors are similar if they point in the same direction and have the same magnitude. They do not have to start at the same point.
Vector addition¶
\[\begin{split}
\vec{C} = \vec{A} + \vec{B} \\
C_i = A_i + B_i
\end{split}\]
We perform element vise addition.