Chapter 1.1, Problem 6EQ

A hiker walks 4 km north and then 5 km northeast. Draw displacement vectors representing the hiker's trip and draw a vector that represents the hiker's net displacement from the starting point.

Describe the result when a point or line is changed by a vector.

The current in a river is pushing a boat in direction 24 degree north of east with a speed of 16 km/hr. The wind is pushing the same boat in a direction 81 degree south of east with a speed of 7 km/hr. Find the velocity vector of the boat's engine (relative to the water) if the boat actually moves due east at a speed of 50 km/hr relative to the ground. Find the engine speed to push the boat and its direction.