To find the vector $\overrightarrow{AB}$, we use the formula:

$\overrightarrow{AB} = B - A = (x_B - x_A, y_B - y_A)$

Given:

• $A = (-2, 6)$
• $B = (3, 9)$

Substitute the coordinates into the formula:

$\overrightarrow{AB} = (3 - (-2), 9 - 6) = (3 + 2, 3) = (5, 3)$

So, the vector $\overrightarrow{AB}$ is:

$\overrightarrow{AB} = (5, 3)$

Would you like further details on vector operations or have any questions?

Here are 5 related questions that build on this concept:

1. How do you find the magnitude of a vector given its components?
2. What is the difference between a vector and a scalar quantity?
3. How would you determine the direction angle of vector $\overrightarrow{AB}$?
4. How would you find a unit vector in the same direction as $\overrightarrow{AB}$?
5. How do you calculate the dot product of two vectors?

Tip: When subtracting coordinates to find a vector, remember that order matters: $\overrightarrow{AB}$ is different from $\overrightarrow{BA}$, as they point in opposite directions.