Q. A girl walks towards West, then she walks in a direction East of North and stops. Then, the girl’s displacement from her initial point of departures is

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Solution:

Let and be the initial and final positions of the girl, respectively.
Then, the girl's position can be shown as in the figure.
image
Now, we have

is component of along -axis and is component of along -axis).

By the triangle law of vector addition, we have




Hence, the girl's displacement from her initial point of departure is