Answer
The vector equation is $\vec{R}=\vec{A}+\vec{B}+\vec{C}+\vec{D}$ . Expressing $\vec{B}$ and $\vec{D}$ in unit-vector
notation, we have $(1.69 \hat{\mathrm{i}}+3.63 \hat{\mathrm{j}}) \mathrm{m}$ and $(-2.87 \hat{\mathrm{i}}+4.10 \hat{\mathrm{j}}) \mathrm{m},$ respectively.
Where the length unit is not displayed in the solution below, the unit meter should be understood.
Adding corresponding components, we obtain $$\vec{R}=(-3.18 \mathrm{m}) \hat{\mathrm{i}}+(4.72 \mathrm{m}) \hat{\mathrm{j}}$$
Work Step by Step
The vector equation is $\vec{R}=\vec{A}+\vec{B}+\vec{C}+\vec{D}$ . Expressing $\vec{B}$ and $\vec{D}$ in unit-vector
notation, we have $(1.69 \hat{\mathrm{i}}+3.63 \hat{\mathrm{j}}) \mathrm{m}$ and $(-2.87 \hat{\mathrm{i}}+4.10 \hat{\mathrm{j}}) \mathrm{m},$ respectively.
Where the length unit is not displayed in the solution below, the unit meter should be understood.
Adding corresponding components, we obtain $$\vec{R}=(-3.18 \mathrm{m}) \hat{\mathrm{i}}+(4.72 \mathrm{m}) \hat{\mathrm{j}}$$
