Question

A ship following a course of 247° for 50 km. At the end of this course, the ship then went east-ward for another 101 km, and then 95 km due south before setting to a final course of 100° for 100 km. Find the resultant vector R. Express it in vector form and in simplest directional statement.

Answer 1

Solution

Firstly finding components in all direction

$A=-19.54 i-46. 03j$

$B=100i$

$C=-95j$

$D=98.48i+17.36j$

So resultant of all above vector

$R=178.94i-123.67j$