Given a vector $\overrightarrow{f}$ with components $f_{x_1}$ and $f_{y_1}$, what is the y-component of $\overrightarrow{f}$?

• A. $f_{x_1}$
• B. $f_{y_1}$
• C. $\sqrt{{f_{x_1}}^2+{f_{y_1}}^2}$
• D.

Answer: (B)

Verified step by step guidance

1. Identify the components of the vector \( \vec{f} \). Here, the vector has components \( f_{x1} \) and \( f_{y1} \), which represent the x- and y-components respectively.
2. Recall that the y-component of a vector \( \vec{f} \) is simply the value of the component along the y-axis. In this case, it is \( f_{y1} \).
3. Understand that the magnitude of the vector \( \vec{f} \) can be found using the Pythagorean theorem: \( \sqrt{f_{x1}^2 + f_{y1}^2} \), but this is not the y-component itself.
4. Focus on the fact that the y-component is independent of the magnitude calculation; it is directly given as \( f_{y1} \).
5. Therefore, the y-component of the vector \( \vec{f} \) is \( f_{y1} \), which is the value provided as the second component of the vector.