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

Guest Nov 24, 2018

#1**+1 **

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

CPhill
Nov 24, 2018