Question

Referring to the Fig. in Question #13, write the component form of the vector shown.

Answer 1

Step 1

The component form of a vector is in the form of;

`\vec{C}=a_x\vec{i}+a_y\vec{\text{j}}`

Step 2

Find the direction of the vector.

`T\text{he vector is moving on the i-axis in the positive direction}`

Step 3

Write the vector in component form

`\begin{gathered} \vec{C}_(ab)=a_x\vec{i}+a_y\vec{\text{j}} \\ \text{where} \\ a_x=4,\text{ since the vector moves }4\text{ units towards the positive on the i-axis} \\ a_y=0\text{ since the vector moves 0 units towards the }j-\text{axis} \end{gathered}`

Hence the component form will be;