Answer:
total distance = 3300 ft
Step-by-step explanation:
we know here displacement S is in vector form that is
[tex]\vec{S} = \vec{S1} +\vec{S2}+\vec{S3}+\vec{S4}[/tex] ......................1
[tex]\vec{S} = (3\hat{i}+6\hat{j}) + (-7\hat{i}-3\hat{j})[/tex]
and
[tex]\vec{S} =(-4\hat{i}+3\hat{j})[/tex]
and
magnitude is
[tex]\left| \vec{S} \right| = \sqrt{(-4)^2+3^2}[/tex]
[tex]\left| \vec{S} \right| = \sqrt{25}[/tex]
[tex]\left| \vec{S} \right| = 5[/tex]
so here distance from home to cafe is
S = 5 × 660
total distance = 3300 ft