Guest: Find the angle θ between the given vectors to the nearest tenth of a degree.
U = −5i + 7j, V = 8i + 3j
It has been a long time since I worked with vectors but I think this is right.
The angle between the x axis (on the right hand side) and V is tan
-1 (3/8) = 20.556 degrees
The angle between the x axis (on the left hand side because of the negative sign) and U is tan
-1(7/5) = 54.462 degrees
So the angle between them is 180 - tan
-1 (3/8) - tan
-1(7/5) = 104.981 = 105.0 degrees (correct to 1 decimal place)
+118653 
