Answer:[tex]\ec{r}=0.153\hat{i}+4.914\hat{j}[/tex]v
Explanation:
Given
Vector 1
[tex]\vec{a}=2.59\left ( cos30\hat{i}+sin30\hat{j}\right )[/tex]
Vector 2
[tex]\vec{b}=4.18\left ( -cos60\hat{i}+sin60\hat{j}\right )[/tex]
Resultant [tex]\vec{r}=\vec{a}+\vec{b}[/tex]
[tex]\vec{r}=2.59\left ( cos30\hat{i}+sin30\hat{j}\right )+4.18\left ( -cos60\hat{i}+sin60\hat{j}\right )[/tex]
[tex]\vec{r}=0.153\hat{i}+4.914\hat{j}[/tex]
[tex]|r|=4.916[/tex]
