Find the magnitude of the resultant of two vectors u and v, given lul=2, lvl=7, and the angle between the vectors when they are arranged tail to tail is 40 degrees
Since we can position the vectors as we wish
Let both have their initial point at (0,0)
Let the terminal point of u = (2,0)
And let the terminal point of v be ( 7cos (40°) , 7sin (40°) )
The x component of the resultant is 2 + 7cos(40°)
The y component of the reultant is 7sin (40°)
The magnitude of the resultant is
√ ( ( 7cos (40°) + 2 )^2 + (7sin (40°))^2 ) ≈ 8.6 units