To indicate that a physical quantity such as force is a vector, we often use notation that visually distinguishes it from scalar quantities. There are various conventions for representing vectors, including boldface letters, arrow notation, or underlining.
In this question, we are provided with four options for writing the symbol for force to show that it is a vector:
A. [tex]\( F' \)[/tex]: This represents a different variable or the derivative of [tex]\( F \)[/tex], and it does not indicate that [tex]\( F \)[/tex] is a vector.
B. [tex]\( F \)[/tex]: This is the standard notation for a scalar variable [tex]\( F \)[/tex], and it does not explicitly indicate that [tex]\( F \)[/tex] is a vector.
C. [tex]\( \underline{F} \)[/tex]: This underlining notation is sometimes used in handwritten notes to represent vectors, but it is less common in printed materials and textbooks.
D. [tex]\( \vec{F} \)[/tex]: The arrow notation above [tex]\( F \)[/tex] explicitly indicates that [tex]\( F \)[/tex] is a vector. This is the standard and widely accepted notation in mathematics and physics for representing vector quantities.
The correct way to write the symbol for force to show that it is a vector is:
D. [tex]\( \vec{F} \)[/tex]
Therefore, the correct answer is D. [tex]\( \vec{F} \)[/tex].
