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Given point A at(3,7) and point B at(14,9), find vector AB.

Show working out please.

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Answer:

The vector AB is represented by (11, 2).

Step-by-step explanation:

Given two points on the same plane, we can determine the vector [tex]\overrightarrow{AB}[/tex] by this formula:

[tex]\overrightarrow{AB} = B(x,y) - A(x,y)[/tex] (1)

Where:

[tex]A(x,y)[/tex] - Coordinates of point A.

[tex]B(x, y)[/tex] - Coordinates of point B.

If we know that [tex]A(x,y) = (3, 7)[/tex] and [tex]B(x,y) = (14,9)[/tex], then the vector AB is:

[tex]\overrightarrow {AB} = (14,9) - (3,7)[/tex]

[tex]\overrightarrow{AB} = (11, 2)[/tex]

The vector AB is represented by (11, 2).

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