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 u1=180πarccos((F22+F32F12)/(2 F2 F3))=180πarccos((102+17292)/(2 10 17))25.0576 u2=180πarccos((F12+F32F22)/(2 F1 F3))=180πarccos((92+172102)/(2 9 17))28.0725 A=u1+u2=25.0576+28.0725=53.1301=53748"
B=180u1=18025.0576=154.9424=1545633"
C=180u2=18028.0725=151.9275=1515539"

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Tips to related online calculators
Line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
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Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

 
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