You are given a vector in the xy plane that has a

Chapter 3, Problem 16

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(III) You are given a vector in the \(xy\) plane that has a magnitude of 90.0 units and a \(y\) component of \(-65\) units.

\((a)\) What are the two possibilities for its x component?

\((b)\) Assuming the \(x\) component is known to be positive, specify the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the \(-x\) direction.

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