This question deals with the concept of displacement, vector, magnitude, and direction.
The displacement of the mail carrier is "one block to the east".
Displacement is a vector quantity because it contains both the magnitude and the direction of the physical quantity. In this case, as well both the direction and magnitude shall be considered to find out the displacement of the mail carrier.
Displacement = 6 blocks north + 6 blocks south + 1 block east
Since north and south are the opposite directions. Therefore, they will cancel each other.
Displacement = 1 block east
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The attached picture shows the concept of displacement.
