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Задача Задача №2627017
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14 января 2025 05:39 · публичный вопрос
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Ответ нейросети
14 января 2025 05:39

It looks like this is a math problem written in Russian, focused on vectors. Here’s a general idea of what the tasks are about based on the text:

  1. Find the coordinates of vectors:

    • \( \vec{m} = 3\vec{a} \)
    • \( \vec{n} = \frac{1}{2}(\vec{a} - 6\vec{b}) \)
  2. Among vectors \( \vec{a} = \begin{pmatrix} -1 \\ 3 \end{pmatrix} \), \( \vec{b} = \begin{pmatrix} 2 \\ 6 \end{pmatrix} \), and \( \vec{c} = \begin{pmatrix} \frac{1}{2} \\ \frac{3}{2} \end{pmatrix} \), find pairs that are collinear.

For the first part, you'll need to perform scalar multiplication and operations on the given vectors \( \vec{a} = \begin{pmatrix} 2 \\ 4 \end{pmatrix} \) and \( \vec{b} = \begin{pmatrix} -3 \\ 2 \end{pmatrix} \).

For the second part, you'll need to determine if the pairs of vectors are scalar multiples of each other to check for collinearity.