rank the vectors in the figure below in (a) order of increasing magnitude and (b) order of increasing value of their x component.

Answer:
[tex]\begin{gathered} a) \\ 1.\vec{B} \\ 2.\vec{C} \\ 3.\vec{A} \\ 4.\vec{D} \\ b) \\ 1.\vec{C} \\ 2.\vec{B} \\ 3.\vec{A} \\ 4.\vec{D} \end{gathered}[/tex]Step-by-step explanation:
The magnitude of a vector is the length of the vector.
a) Therefore, the order of increasing magnitude for the figure shown above would be:
[tex]\begin{gathered} 1.\vec{B} \\ 2.\vec{C} \\ 3.\vec{A} \\ 4.\vec{D} \end{gathered}[/tex]b) The x component of a vector is in the x-axis direction, which means:
As an example, you can see that the x-component of C is the shortest. If you decompound the vector C:
[tex]\begin{gathered} 1.\vec{C} \\ 2.\vec{B} \\ 3.\vec{A} \\ 4.\vec{D} \end{gathered}[/tex]