Question

Даны точки А(11;2), В(-3;10), С(14;-2). Определите координаты точек D так , чтобы выполнялось равенство: АВ=СD помогите пожалуйста с объяснением​ пожалуйстааааа​

Answer 1

Ответ:

D(0;6)

Объяснение: берёшь координаты D как x и y, подставляешь в формулу координаты вектора, дальше всё на фото

Answer 2

Finding the Coordinates of Point D

To determine the coordinates of point D such that AB = CD, we need to find the vector AB and then use it to find the coordinates of point D.

The vector AB can be found by subtracting the coordinates of point A from the coordinates of point B:

AB = (xB - xA, yB - yA)

Given the coordinates of points A (11, 2) and B (-3, 10), we can calculate the vector AB as follows:

AB = (-3 - 11, 10 - 2) = (-14, 8)

Now, to find the coordinates of point D, we need to add the vector AB to the coordinates of point C:

D = (xC + ABx, yC + ABy)

Given the coordinates of point C (14, -2) and the vector AB (-14, 8), we can calculate the coordinates of point D as follows:

D = (14 - 14, -2 + 8) = (0, 6)

Therefore, the coordinates of point D are (0, 6) in order to satisfy the equation AB = CD.

I hope this explanation helps! Let me know if you have any further questions.