Question

АBCD-прямоугольник.Чему равна сумма вектора AB и BC; AB AD;CD CB?Пожалуйста помогите если сможете сфоткайте чертёж:)

Answer 1

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Answer 2

Sum of Vectors in a Rectangle

In a rectangle ABCD, let's find the sum of the vectors AB + BC, AB + AD, and CD + CB.

To visualize the rectangle, please refer to the following diagram:

   A _______ B
    |       |
    |       |
   D|_______|C

To find the sum of vectors AB + BC, we can use the parallelogram rule of vector addition. According to this rule, we can draw a parallelogram using AB and BC as adjacent sides. The diagonal of the parallelogram represents the sum of the vectors AB + BC. In this case, the diagonal is AC.

Similarly, to find the sum of vectors AB + AD, we can draw a parallelogram using AB and AD as adjacent sides. The diagonal of the parallelogram represents the sum of the vectors AB + AD. In this case, the diagonal is BD.

Finally, to find the sum of vectors CD + CB, we can draw a parallelogram using CD and CB as adjacent sides. The diagonal of the parallelogram represents the sum of the vectors CD + CB. In this case, the diagonal is DB.

Therefore, the sum of the vectors in a rectangle ABCD is as follows:

- The sum of vectors AB + BC is vector AC. - The sum of vectors AB + AD is vector BD. - The sum of vectors CD + CB is vector DB.

Please note that without specific values for the lengths and angles of the sides of the rectangle, we cannot determine the exact lengths of the vectors AC, BD, and DB. However, we can determine their directions based on the given sides of the rectangle.

I hope this explanation helps! Let me know if you have any further questions.