Question

В результате предельного переноса на вектор а, точка А(-2;-2) переходит в точку А1(3;-4). Найдите координаты вектора и точки P, если она отображается на точку P1(-1;5) Решите пожалуйста подробно

Answer 1

Ответ:

(4;-2)

Пошаговое объяснение:

В результате параллельного переноса координата Х точки А изменилась на 2-(-1)=3 а координата y на 4-3=1

Значит кооридаты точки В' были х=1 y=-3, а станут: 1+3=4 и -3+1=-2

Ответ: (4;-2)

Answer 2

Ответ:

(4;-2)

Пошаговое объяснение:

Answer 3

#### Given Information: We are given that the point A(-2, -2) is transformed into the point A1(3, -4) as a result of a vector translation. #### Finding the Vector: To find the vector that represents the translation from point A to point A1, we can subtract the coordinates of A from the coordinates of A1. Let's denote the vector as **v** and the coordinates of point A as (x1, y1) and the coordinates of point A1 as (x2, y2). The vector **v** is given by: **v** = (x2 - x1, y2 - y1) Substituting the given coordinates, we have: **v** = (3 - (-2), -4 - (-2)) **v** = (5, -2) Therefore, the coordinates of the vector **v** are (5, -2). #### Finding the Transformed Point P1: We are also given that point P is transformed into point P1(-1, 5). To find the coordinates of point P, we can use the same vector translation. Let's denote the coordinates of point P as (x, y). The coordinates of point P1 are related to point P by the vector translation **v**: P1 = P + **v** Substituting the given coordinates of P1 and the coordinates of **v**, we have: (-1, 5) = (x, y) + (5, -2) Solving this equation, we can find the coordinates of point P. x + 5 = -1 -> x = -1 - 5 -> x = -6 y - 2 = 5 -> y = 5 + 2 -> y = 7 Therefore, the coordinates of point P are (-6, 7). #### Summary: - The vector that represents the translation from point A to point A1 is **v** = (5, -2). - The coordinates of point P, which is transformed into point P1, are (-6, 7). Please let me know if I can help you with anything else.