To find the vectors \( \mathbf{u} \) and \( \mathbf{v} \) based on given points, we need the coordinates of these points. The general formula for a vector represented by its initial point \( (x_1, y_1) \) and terminal point \( (x_2, y_2) \) in 2D is:
\[ \mathbf{u} = (x_2 - x_1, y_2 - y_1) \]
For example, if \( \mathbf{u} \) has initial point \( A(x_1, y_1) \) and terminal point \( B(x_2, y_2) \), the vector \( \mathbf{u} \) can be calculated as follows:
- Initial point \( A \): \( (x_1, y_1) \)
- Terminal point \( B \): \( (x_2, y_2) \)
Then,
\[ \mathbf{u} = (x_2 - x_1, y_2 - y_1) \]
Similarly, if you have another vector \( \mathbf{v} \) with its own initial and terminal points, say \( C(x_3, y_3) \) and \( D(x_4, y_4) \):
\[ \mathbf{v} = (x_4 - x_3, y_4 - y_3) \]
Please provide the coordinates of the specific points for \( \mathbf{u} \) and \( \mathbf{v} \), and I can compute the vectors for you.
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