Accepted Answer
The magnitude and direction of the sum of vectors will be 4.15 m aligned in 50° in north west direction.Both the vectors are making angle in a way that it will add up to 90° , hence a right angles triangle will be formed .using Pythagoras theorem [tex]H^{2} = P^{2} + B^{2}[/tex]sum of vector = [tex]H^{2} = P^{2} + B^{2}[/tex]H = [tex]\sqrt{P^{2} + B^{2} }[/tex] = [tex]\sqrt{3.14^{2} + 2.71^{2} }[/tex] = 4.15 mlet theta is the angle along the base vector 2 tan (theta ) = P/B = 3.14 / 2.71 = 1.16 °theta = [tex]tan^{-1}[/tex] ( 1.16 ) ≈ 50° hence , The magnitude and direction of the sum of vectors will be 4.15 m aligned in 50° in north west direction.To learn more about vector here :https://brainly.com/question/13322477#SPJ1