# Answer to Question #4405 in Analytic Geometry for John

Question #4405

An object, that remains at rest, is acted upon by three forces F1, F2 and F3. The component forms of F1 and F2 are given by

F1 =ai + bj and F2 = ci + dj

where a = -116, b = 50, c = 129 and d = -195. If the component form of F3 is of the form

F3 = xi + yj

then what is the value of x?

F1 =ai + bj and F2 = ci + dj

where a = -116, b = 50, c = 129 and d = -195. If the component form of F3 is of the form

F3 = xi + yj

then what is the value of x?

Expert's answer

As objectremains at rest then

Fx=Fy=0

Then a

please note that

Fx=Fy=0

Then a

*i*+b*i*+x*i*=0=-116*i*+129*i*+x*i*=13*i*+x*i*=0 => x=-13please note that

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