A frog makes four jumps in a row. The displacement vectors for the four jumps are: $(1)25\mathrm{.}0$ cm$,$ due west; $(2)23\mathrm{.}5$ cm$,49\mathrm{.}0\backslash$deg south of west; $(3)26\mathrm{.}0$ cm$,50\mathrm{.}0\backslash$deg south of east; and $(4)32\mathrm{.}5$ cm$,38\mathrm{.}0\backslash$deg north of east. What is the magnitude, in centimeters, and what is the direction of the frog's displacement from its starting point? Express the direction as an angle measured counterclockwise from due east.

magnitude

cm

direction