Question

ЗНАЙТИ вектор 1. AB+BC-AD =2. AD-BA+DB-DC

Answer 1

1.  АВ+ВС равна АС, АС-АД=ДС.

2. 1) АД+ДВ=АВ, 2)АВ-ВА=АВ+АВ=2АВ. 3)2АВ-ДС.

Только при оформлении решения ставьте либо черту над вектором, либо стрелочку.

Answer 2

To solve the given expressions, we need to understand the vectors involved and their properties.

Let's assume that A, B, C, and D are points in a 3-dimensional space, and AB, BC, AD, BA, DB, and DC are vectors representing the displacements from one point to another.

The vector addition and subtraction properties are as follows:

1. Vector Addition: A + B = (A_x + B_x, A_y + B_y, A_z + B_z)
2. Vector Subtraction: A - B = (A_x - B_x, A_y - B_y, A_z - B_z)

Now let's solve the given expressions:

1. AB + BC - AD:

Vector AB represents the displacement from point A to point B. Vector BC represents the displacement from point B to point C. Vector AD represents the displacement from point A to point D.

To find AB + BC - AD, we add the corresponding components of these vectors:

AB + BC - AD = (AB_x + BC_x - AD_x, AB_y + BC_y - AD_y, AB_z + BC_z - AD_z)

2. AD - BA + DB - DC:

Vector BA represents the displacement from point B to point A (opposite direction of AB). Vector DB represents the displacement from point D to point B (opposite direction of BD). Vector DC represents the displacement from point D to point C (opposite direction of BC).

To find AD - BA + DB - DC, we add the corresponding components of these vectors:

AD - BA + DB - DC = (AD_x - BA_x + DB_x - DC_x, AD_y - BA_y + DB_y - DC_y, AD_z - BA_z + DB_z - DC_z)

Now, without further information about the points A, B, C, and D and their coordinates, we cannot find the exact numerical values of these vectors. However, we have expressed the results in terms of their components based on the vector properties.

If you have specific coordinates for points A, B, C, and D, you can plug in the values to find the numerical result for each vector expression.