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Point A has coordinates (6,4) and point B has coordinates (2,7) write AB as column vector. Plz plz plz

Sagot :

elcharly64

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]

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