Question

Найдите суму векторов: AB+BK+KC = ?​

Answer 1

AB+BK+KC =АС, т.к.

AB+BK=АВ

АВ+КС=АС

Answer 2

To find the sum of vectors AB, BK, and KC, you need to add their corresponding components. Assuming these vectors are defined in a two-dimensional Cartesian coordinate system, where each vector has an x-component and a y-component, you can add the components separately.

Let's say the coordinates of points A, B, K, and C are as follows:

A = (xA, yA) B = (xB, yB) K = (xK, yK) C = (xC, yC)

Then, the components of the vectors are:

AB = (xB - xA, yB - yA) BK = (xK - xB, yK - yB) KC = (xC - xK, yC - yK)

To find the sum of the vectors, add their x-components and y-components:

Sum of x-components = (xB - xA) + (xK - xB) + (xC - xK) Sum of y-components = (yB - yA) + (yK - yB) + (yC - yK)

So, the sum of the vectors AB, BK, and KC is:

Sum = (xB - xA + xK - xB + xC - xK, yB - yA + yK - yB + yC - yK)

You can simplify this further:

Sum = (xC - xA, yC - yA)

This gives you the resulting vector as the sum of the initial vectors.