Question

A boat needs to travel south at a speed of 20 km/h. However a constant current of 6 km/h is
flowing from the south-east. Use vectors to find:
a.the equivalent speed in still water for the boat to achieve the actual speed of 20 km/h.
b the direction in which the boat must head to compensate for the current.

Answer 1

we need <x,y> such that

<x,y> + <6/√2,6/√2> = <0,-20>

Now it's easy to get x and y, and thence the speed and direction.

Answer 2

Answer