A boat sails due north

PHYSICS · Subjective · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A boat sails 2 km2\,\text{km} due north, then 3 km3\,\text{km} at 40∘40^{\circ} east of north, and finally 1 km1\,\text{km} due west. Construct a single scale vector diagram to determine: (a) the magnitude of its total displacement, and (b) the direction of this displacement expressed as an angle east or west of north (nearest degree).

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