Answer to Question #139427 in Physics for Nash

Question

Give the resultant vector of A = 26.5 m 56° NW; B = 44.0 m 28° NE; and C = 31.0 m S

Answer 1

Vector A:

$$A=-26.5\text{ sin}56°i+26.5\text{cos}56°j=-14.8i+22j.$$

Vector B:

$$B=44\text{ sin}28°i+44\text{ cos}28°j=38.8i+20.7j.$$

Vector C:

$$C=-31j.$$

The resultant is

$$R=A+B+C=(24i+11.7j)\text{ km}$$