Question

Refer to the vectors shown in the diagram. Using graphical and algebraic method determine the: (1 point each)

(a) Resultant

(b) C – O – D

(c) V + O – I + D

(d) C – O – V – I – D (e) (I + O) – (C+ V – D)

2. Marie Kieth walks 15 cm S and 13 cm Find the magnitude and direction of their resultant using graphical (polygon method) and analytical method. (5 points each for graphical and analytical method)

 

Answer 1

2. Assume is it 15 cm S and 13 cm E:

The magnitude of the resultant is

$$R=\sqrt{15^2+13^2}=19.8\text{ cm},\\\space\\ \theta=\arctan\frac{15}{13}=49°\text{ S of E.}$$