right) = \left( \begin{array}{l} a - c\\ b - d \end{array} \right)\) Look at the diagram and imagine going from X to Z. How would you write the path in vectors using only the vectors ...

Unit vectors have a magnitude of 1. The basic unit vectors are \(i = \left( \begin{array}{l}1\\ 0\\0\end{array} \right)\), \(j=\left(\begin{array}{l}0\\1\\0\end{array ...

Suppose we have a subspace \(\mathbb{S}\) of \(\mathbb{R}^n\) whose basis consists of \(k\) vectors \(\vec{v}_1,\vec{v}_2, \ldots , \vec{v}_k\). \[ \mathbb{S ...