Question

Даны точки А(-2,-1), В(1,2),С(0,9) , Д(-4,1) наидите координаты векторов АС и ВД

Answer 1

AC={0-(-2);   9-(-1)}  = {2; 10}
BD= {-4-1;  1-2}  = {-5;  -1}

Answer 2

1) АС=(0-(-2);9-(-1))=(2;10)
2) ВД=(-4-1;1-2)=(-5;-1)

Answer 3

Finding the Coordinates of Vectors AC and BD

To find the coordinates of vectors AC and BD, we need to subtract the coordinates of the initial point from the coordinates of the terminal point for each vector.

The coordinates of point A are (-2, -1), and the coordinates of point C are (0, 9). Therefore, the coordinates of vector AC can be found by subtracting the coordinates of point A from the coordinates of point C:

AC = (0, 9) - (-2, -1)

To subtract the coordinates, we subtract the x-coordinates and the y-coordinates separately:

AC = (0 - (-2), 9 - (-1)) = (2, 10)

So, the coordinates of vector AC are (2, 10).

Similarly, the coordinates of point B are (1, 2), and the coordinates of point D are (-4, 1). Therefore, the coordinates of vector BD can be found by subtracting the coordinates of point B from the coordinates of point D:

BD = (-4, 1) - (1, 2)

Again, we subtract the x-coordinates and the y-coordinates separately:

BD = (-4 - 1, 1 - 2) = (-5, -1)

So, the coordinates of vector BD are (-5, -1).

Therefore, the coordinates of vector AC are (2, 10), and the coordinates of vector BD are (-5, -1).