Three vectors

The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point to balance. Determine the angles of each two forces.

Correct answer:

A =  53.1301 °
B =  154.9424 °
C =  151.9275 °

Step-by-step explanation:

F1=9 F2=10 F3=17  c1=F22+F32F122 F2 F3=102+172922 10 17=77850.9059  u1=180°πarccos(c1)=180°πarccos(0.9059)25.0576 °  c2=F12+F32F222 F1 F3=92+1721022 9 17=15170.8824 u2=180°πarccos(c2)=180°πarccos(0.8824)28.0725 °  A=u1+u2=25.0576+28.0725=53.1301°=53°748"
B=180u1=18025.0576=154.9424°=154°5633"
C=180u2=18028.0725=151.9275°=151°5539"

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