Answer to Question #4405 in Analytic Geometry for John

Question

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?

Answer 1

As objectremains at rest then
Fx=Fy=0
Then a i+b i+x i =0=-116 i+129 i+x i =13 i+x i =0 => x=-13
please note that i - vector