Answer:
[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]
Step-by-step explanation:
Column Vector
Vectors are matrices having only one column or one row. A vector having only one column is called a column vector, and a vector having only one row is called a row vector.
It's required to find the vector AB as a column vector, and we are given the coordinates of A=(6,4) and B=(2,7).
The vector directed from A to B is found by subtracting its corresponding coordinates:
[tex]\overrightarrow{AB }=<2-6,7-4>[/tex]
[tex]\overrightarrow{AB }=<-4,3>[/tex]
Now we express the vector as a one-column matrix as follows:
[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]
