A wind turbine generates electricity from the wind's energy. A wind farm is a group of wind turbines. Wind turbines produce the most electricity when their blades face directly into the wind. Computer controls can rotate the turbines to change the direction that the blades face. A cold front results in a shift in the wind. The new wind velocity in miles per hour is given by the vector -26i -15j, on a coordinate grid in which the positive y-axis points north.
a. What are the magnitude and direction of the wind's velocity?
b. If the blades of a turbine point due north, how many degrees and in what direction should the turbine rotate so that its blades will face directly into the wind?
