Question

Two vectors are given: 7 = 3 + 27, y = 27 - 8j.

a) Draw these vectors in Cartesian coordinate system

b) Represent both of these vectors in magnitude, direction notation.

C) Represent vector 27 + 3ÿ in magnitude, direction notation.

Answer 1

1) Draw:

2)

$$\vec r_1=\sqrt{3^2+2^2}\angle\arctan\frac{2}{3}=3.61\angle33.7°,\\ \vec r_2=8.25\angle283.25°.$$

3)

$$|r|=\sqrt{27^2+3^2}=27.2,\\\space\\ \theta=\arctan\frac{3}{27}=6.3°$$