Vector A→, having magnitude 2.5m, pointing 37∘ south of east and vector B→ having magnitude 3.5m, pointing 20∘ north of east are added. What is the magnitude of the resultant vector?

Magnitude of the resultant vector is R = 6.81 m

Explanation:

Given :

Vector A having magnitude of 2.5 m

Vector A having direction 37 degree south of east.

Vector B having magnitude of 3.5 m

Vector B having direction 20 degree north of east.

Therefore, the angle between the two vectors is, θ = 37+20 = 57 degree

So, the resultant of the two vectors are given by

R = 6.81 m