A student bikes to school by traveling first dN = 1.10 miles north, then dW = 0.

Question

A student bikes to school by traveling first dN = 1.10 miles north, then dW = 0.400 miles west, and finally dS = 0.100 miles south.

Take the north direction as the positive y direction and east as positive x. The origin is still where the student starts biking.
Let vector dN be the displacement vector corresponding to the first leg of the student's trip. Express vector dN in component form.

Express your answer as two numbers separated by a comma (e.g., 1.0,2.0). By convention, the x component is written first.

(dN)x,(dN)y =??

Explanation / Answer

i = x unit vector

j = y unit vector

dN = 1.1j

dW = -0.4i

dS = -0.1j

Therefore:

(dN)x = 0

(dN)y = 1.1

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