1. find the magnitude and direction (polar coordinates) of the difference vector b-a where a = 20 m due east and b = 10 m2 due north. 2. find the vector components (rectangular coordinates) of 2a + 3b where 4m/s? at 60° west of south and b-3m/s2 at 60° south of west. a 3. use the graphical tail-to-head technique to find the vector sums of the vectors a = a velocity of 20,n/s at 30° north of east b = a velocity of 50 m/s at 45° north of east 4. extra credit: a hiker begins a trip by first walking 25.0 km southeast from her car. she stops and sets up her tent for the night. on the second day, she walks 40.0 km in a direction 60.0 north of east, at which point she discovers a forest rangers tower. if the hiker wishes to return to her car from the ranger's tower along a single straight line, what are the components of the vector representing this hike and it cardinal direction?