Answer to Question #139233 in Physics for elie

Question

Determine the Resultant Vector of the following vectors:
A = 26.5 m 56° NW; B = 44.0 m 28° NE; and C = 31.0 m S.

Answer 1

The coordinates of the vectors are:

$$\mathbf{A} = 26.5\times (-\sin56\degree,\cos56\degree) \approx (-21.97, 14.82)\\ \mathbf{B} = 44\times (\sin28\degree,\cos28\degree)\approx (20.66,38.85)\\ \mathbf{C} = 31\times (0,-1) = (0,-31)$$

Their sum is:

$$\mathbf{A} +\mathbf{B}+\mathbf{C} = \\ =(-21.97+20.66+0,\space14.82+38.85-31)= (-1.31, 22.67)$$

Answer. $(-1.31, 22.67)$.