Three vectors are shown in Fig. 3-35 (A = 62.0 ; B = 60.0°). Their magnitudes are given in arbitrary units.?

Determine the sum of the three vectors.





(a) Give the resultant in terms of components.

Rx =

Ry =

(b) What is the magnitude of the resultant?



What is the resultant's angle above the +x-axis?

°

Three vectors are shown in Fig. 3-35 (A = 62.0 ; B = 60.0°). Their magnitudes are given in arbitrary units.?
You know right off the bat the resultants angle will be 61 deg.



to find r first find a= (cos62 , sin62) = (.47, .88)

and b= (cos60, sin60) = (.5, .87)

add these two arbitrary vectors to get r



(.47+.5)i + (.88+.87)j = r

r= (.97 i + 1.75 j)

now take the square root of the sum of the squares of the components of r, this will be the magnitude



|r| = sqrt (.97^2 + 1.75^2)

|r| = 2



and angle theta will be arctan ( 1.75/.97)

theta=61degrees