Refer to the diagram shown below.
Define unit vectors along the x and y axes as respectively [tex]\hat{i} \, and \, \hat{j}.[/tex]
Then the three successive displacements, written in component form, are respectively
[tex]\vec{dN} = 1.0 \, \hat{j} \\
\vec{dW} = -0.6 \, \hat{i} \\ \vec{dS} = -0.2 \, \hat{j}[/tex]
The total displacement for the first leg of the trip is
[tex]\vec{d} = \vec{dN} + \vec{dW} + \vec{dS} \\ \vec{d}= 1.0\hat{j}-0.6\hat{i}-0.2\hat{j} \\ \vec{d}=-0.6\hat{i}+0.8\hat{j}[/tex]
Answer:
[tex]\vec{d} = -0.6\hat{i}+0.8\hat{j}[/tex] or (-0.6, 0.8)
