You are going for a drive, but a detour takes you out of the way of your destination. You drive north for 10 miles, turn right and drive east for 5 miles, turn to the north and drive for 3
miles, drive west for 10 miles, and arrive at your destination.
a) How far from where you started did you end up?
b) If you wanted to travel directly to your destination without following the streets (“as the
crow flies”), what angle would you take? What direction would a compass read?
c) Now try adding the vectors in a different order. For example, start with the 5 miles east,
then 3 miles north, etc., as long as you add all four vectors. Compare the result to the sum
in part a). Draw the vectors in the order you used.

To understand the electric potential and electric field of a point charge in three dimensions consider a positive point charge q, located at the origin of three-dimensional space. throughout this problem, use k in place of 14? ? 0. part adue to symmetry, the electric field of a point charge at the origin must point from the origin.answer in one word.part bfind e(r), the magnitude of the electric field at distance r from the point charge q.express your answer in terms of r, k, and q. part cfind v(r), the electric potential at distance rfrom the point charge q.express your answer in terms of r, k, and q part dwhich of the following is the correct relationship between the magnitude of a radial electric field and its associated electric potential ? more than one answer may be correct for the particular case of a point charge at the origin, but you should choose the correct general relationship. a)e(r)=dv(r)drb)e(r)=v(r)rc)e(r)=? dv(r)drd)e(r)=? v(r)r