In this case, \( a=49.5 \), \( b=35.0 \), and \( c=-35.0 \).
So, the magnitude of the force vector is \( |\vec{F}|=\sqrt{(49.5)^2+(35.0)^2+(-35.0)^2} \).
Calculating this gives \( |\vec{F}|=\sqrt{2450.25+1225+1225} \).
So, \( |\vec{F}|=\sqrt{4900.25} \).
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