Question

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

Answer 1

`\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}`

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:

`\begin{gathered} 1.\vec{B} \\ 2.\vec{C} \\ 3.\vec{A} \\ 4.\vec{D} \end{gathered}`

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:

`\begin{gathered} 1.\vec{C} \\ 2.\vec{B} \\ 3.\vec{A} \\ 4.\vec{D} \end{gathered}`