A student bikes to school by traveling first = 1.10miles north, then = 0.400mile

Question

A student bikes to school by traveling first = 1.10miles north, then = 0.400miles west, and finally = 0.200 miles south.

A)If a bird were to start out from the origin (where the student starts) and fly directly (in a straight line) to the school, what distance would the bird cover? Express your answer in miles. answer is 0.985miles

B) You will now find the same quantity algebraically, without the need to use much geometry. Take the north direction as the positive y direction and east as positive x. The origin is still where the student starts biking.
Let be the displacement vector corresponding to the first leg of the student's trip. Express 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. answer is (0, 1.1)

C)Similarly, let be dw the displacement vector corresponding to the second leg of the student's trip. Express dw in component form.
Express your answer as two numbers separated by a comma. Be careful with your signs.

Explanation / Answer

A.) magnitude of -0.4i + 0.9 j = sqrt(0.4^2 + 0.9^2) = 0.985 miles B.) the displacement along north direction is 1.1 miles so along x-axis displacement vector magnitude is 0 so vector = 1.1j in coordinate form = (0,1.1)

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