When subtracting two vectors $\overrightarrow{AB}$ and $\overrightarrow{CB}$: \(\overrightarrow{

Question

When subtracting two vectors $\overrightarrow{AB}$ and $\overrightarrow{CB}$: $\overrightarrow{AB} - \overrightarrow{CB} = \overrightarrow{AC}$ For any two column vectors, $\mathbf{a} = \begin{pmatrix} p \ q \end{pmatrix}$ and $\mathbf{b} = \begin{pmatrix} r \ s \end{pmatrix}$, then $\!\!\!\!$ $\mathbf{a} - \mathbf{b} = \begin{pmatrix} p - r \ q - s \end{pmatrix}$

Accepted Answer

AB - CB = AB + BC = AC; for a = (p, q)^T and b = (r, s)^T, a - b = (p - r, q - s)^T.

Vector Subtraction

Vector Subtraction

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