To determine the end point of the vector when it is multiplied by 2, let's proceed step-by-step through the calculation.
1. Identify the given vector:
The provided vector is [tex]\((2, -1)\)[/tex].
2. Multiply each component of the vector by 2:
- The x-coordinate (first component) of the vector is 2. Multiplying 2 by 2 gives [tex]\(2 \times 2 = 4\)[/tex].
- The y-coordinate (second component) of the vector is -1. Multiplying -1 by 2 gives [tex]\(-1 \times 2 = -2\)[/tex].
3. Determine the new coordinates:
Thus, after multiplying each component by 2, the new coordinates of the vector are [tex]\((4, -2)\)[/tex].
Therefore, the end point of the vector when multiplied by 2 is [tex]\((4, -2)\)[/tex].
The correct answer is [tex]\(\mathbf{C. (4, -2)}\)[/tex].
