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

d = ( -0.3 , 0.7 ) miles

Explanation:

The complete question is as follows:

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

A student bikes to school by traveling first dN = 0.800 miles north, then dW = 0.300 miles west, and finally dS = 0.100 miles south. "

Solution:

- The displacement vector d N is vector sum of all journeys. We will express +x as +i and +y as +j. Then displacement vector is given by:

                              d = dN + dW + dS

                              d = 0.8 j - 0.3 i - 0.1 j

                              d = - 0.3 i + 0.7 j

- The displacement vector d in component form is d = ( -0.3 , 0.7 ) miles