A plane is flying on a course with a vector of where the 25

A plane is flying on a course with a vector of <250, 100>, where the 250 is the speed due north, and the 100 is the speed due east. The wind is blowing <25, 5> where the directions are also north and east, in the same order. How fast is the plane flying? All values are in mph.

Solution

Given that

Speed of plane due north and east are respectively <250mph,100mph>

Speed of wind due north and east are respectively <25mph,5mph>

If both are blowing in the same way means both the will be added.

Speed of the plane due north and east are respectively <250+25,100+5>

<275mph,105mph>

The speed of plane flying due north is 275mph

The speed of pplane flying due east is 105mph