Adding vectors algebraically

Question

A pedestrian walks at a rate of 6 km/h East The wind pushes him Northwest at a rate of 13 km/hFind the direction of the resultant

vector

Answer 1

Draw and label a diagram.

Put NW vector tail to tip of E vector

Angle between them is θ.θ

θ = 45°

Use Law of Cosines to determine magnitude of resultant.

Use resultant, θ, either vector, and Law of Sines to determine direction.