Question

Даны точки A (2;10) и B (7;-2). Найдите. Вектор AB и |вектор AB|.

Answer 1

АВ (-2;10)
АС(2;7)
Вроде так

Answer 2

Finding the Vector AB

To find the vector AB, we need to subtract the coordinates of point A from the coordinates of point B.

The coordinates of point A are (2, 10), and the coordinates of point B are (7, -2).

To find the vector AB, we subtract the x-coordinate of point A from the x-coordinate of point B and the y-coordinate of point A from the y-coordinate of point B:

AB = (7 - 2, -2 - 10) = (5, -12)

So, the vector AB is (5, -12).

Finding the Magnitude of Vector AB

To find the magnitude of vector AB, we use the formula:

|AB| = sqrt(x^2 + y^2)

Where x is the x-coordinate of vector AB and y is the y-coordinate of vector AB.

In this case, x = 5 and y = -12. So, we can calculate the magnitude of vector AB as follows:

|AB| = sqrt(5^2 + (-12)^2) = sqrt(25 + 144) = sqrt(169) = 13

Therefore, the magnitude of vector AB is 13.