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.

Question

Physics

Trenton Whitehead

14 January, 07:07

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.

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Answers (1)

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Aliza Stout · Answer 1

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