Sure, let's go through each of the provided options to determine which notation properly represents a vector for the force:
A. [tex]\(E\)[/tex]: This option uses the symbol [tex]\(E\)[/tex], which is typically not used to denote force. It is commonly associated with energy or electric field in physics, but not force. Therefore, this is not the correct option.
B. [tex]\(\vec{F}\)[/tex]: This notation represents the force [tex]\(\vec{F}\)[/tex] as a vector. An arrow above the letter [tex]\(F\)[/tex] is the standard way to indicate that it is a vector quantity, which accounts for both magnitude and direction. This is the correct and commonly accepted way to denote a vector form of force.
C. [tex]\(F'\)[/tex]: This notation represents a derivative or a different form of the symbol [tex]\(F\)[/tex], but it does not explicitly show that [tex]\(F\)[/tex] is a vector. Thus, it is not the correct choice for representing force as a vector.
D. [tex]\(F\)[/tex]: This simple symbol [tex]\(F\)[/tex] is typically used to denote scalar quantities. While [tex]\(F\)[/tex] often represents force in its general usage, it does not indicate that it is specifically a vector.
Based on the analysis above, the correct way to write the symbol to show that it is a vector is:
B. [tex]\(\vec{F}\)[/tex]
