How do you find the vector from point A (2, 3) to point B (6, 8)?

To find the vector from point A (2, 3) to point B (6, 8), subtract the coordinates of A from B.

In more detail, a vector represents the direction and distance from one point to another. To find the vector from point A to point B, you need to subtract the coordinates of point A from the coordinates of point B. This is done by subtracting the x-coordinate of A from the x-coordinate of B, and the y-coordinate of A from the y-coordinate of B.

For point A (2, 3) and point B (6, 8), the x-coordinates are 2 and 6, respectively, and the y-coordinates are 3 and 8, respectively. Subtract the x-coordinate of A from the x-coordinate of B: 6 - 2 = 4. Then, subtract the y-coordinate of A from the y-coordinate of B: 8 - 3 = 5.

So, the vector from point A to point B is (4, 5). This means you move 4 units to the right (along the x-axis) and 5 units up (along the y-axis) to get from point A to point B. This vector can be written as \(\vec{AB} = (4, 5)\).