Question

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

Show working out please.

Answer 1

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

Explanation:

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

`\overrightarrow{AB} = B(x,y) - A(x,y)` (1)

Where:

`A(x,y)` - Coordinates of point A.

`B(x, y)` - Coordinates of point B.

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

`\overrightarrow {AB} = (14,9) - (3,7)`

`\overrightarrow{AB} = (11, 2)`

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