Question

Дaно Точки C(1; -3). D-1; -2), P(3; -1). Відкладіть від точки P вектор PK, що дорівнює вектору CD. Якими є координати точки K? ​

Answer 1

Ответ:

Ответ:

К(1; 0)

Объяснение:

Обчислимо координати вектора: CD={-1-1; -2-(-3)}={-2; 1}.

Тепер припустимо, що K(x;y) тоді маємо: PK={-2; 1}={x-3; y-(-1)}={x-3; y+1} або

x-3=-2, x=1 і y+1=1, y=0. Тобто К(1; 0

Answer 2

Given Information:

We are given the following points: - Point C: (1, -3) - Point D: (-1, -2) - Point P: (3, -1)

We are asked to find the coordinates of point K, which is obtained by translating point P by the vector PK, which is equal to the vector CD.

Solution:

To find the vector CD, we subtract the coordinates of point C from the coordinates of point D:

CD = (x2 - x1, y2 - y1) = (-1 - 1, -2 - (-3)) = (-2, 1)

Now, we can find the coordinates of point K by adding the vector CD to the coordinates of point P:

K = (x1 + x2, y1 + y2) = (3 + (-2), -1 + 1) = (1, 0)

Therefore, the coordinates of point K are (1, 0).

Please let me know if there is anything else I can help you with!