Question 4 The magnitude; Using Pythagoras theorem, (-200)² + (-530)² = 320900 Length = √320900 = 566.5 mi To get the angle Tan θ = opposite/adjacent = 200/530 = 0.3774 θ = tan^-1 (0.3774) = 20.67 ≈ 21° The direction from the Cartesian plane is south of west. Therefore, the magnitude and the direction will be; About 566.5 mi, 21° south of west
Question 5. To get the resultant of two vectors we just add the two vectors given. This involves adding the corresponding values. Thus, for <-6,5> and <6,-5> Resultant vector = <(-6+6),(5+-5> = <0,0>
