1.Ship A is 3 miles east and 4 miles north of port. Ship B is 5 miles west and 2 miles north of port (see figure).

(a) Using the positive imaginary axis as north and the positive real axis as east, write complex numbers that represent the positions of Ship A and Ship B relative to port.
(b) How can you use the complex numbers in part (a) to find the distance between Ship A and Ship B?
2. Two forces are acting on a point. The first force has a horizontal component of 5 newtons and a vertical component of 3 newtons. The second force has a horizontal component of 4 newtons and a vertical component of 2 newtons.
(a) Plot the vectors that represent the two forces in the complex plane.
(b) Find the horizontal and vertical components of the resultant force acting on the point using the complex plane.

Transcribed Image Text:

North 10 8. 6. Ship A Ship B Port +++► East 8 10 4 6 8 10 -8 -6 -4 -2 -2 -4 -6 -8 -10- 00 4. 2.