We are given the following two vectors
[tex]\begin{gathered} \vec{A}=(1.2\; m)\hat{x}\; \\ \vec{B}=(-3.4\; m)\hat{x}\; \end{gathered}[/tex]
(a) Greater x component
Vector A (1.2 m) has a greater x component as compared to vector B (-3.4 m) because vector A is positive and vector B is negative.
Vector A has a greater x component
(b) Greater magnitude
Vector B (3.4 m) has a greater magnitude as compared to vector A (1.2 m) because the absolute value of vector B is greater than the absolute value of vector A.
[tex]\begin{gathered} |\vec{A}|=|1.2|=1.2\; m \\ |\vec{B}|=|-3.4|=3.4\; m \end{gathered}[/tex]
Vector B has a greater magnitude.
