Question

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

Answer 1

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 $\overrightarrow{AB}$ 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).