**a)**

From the information given, the x-component of the position vector of the yellow sphere is positive: d_{2}cosθ

The y- component of the position of the yellow sphere is negative: - d_{2}sinθ

The net electric force on the blue sphere is F = (0, - F), where F > 0

The blue and the red spheres placed along the x-axis have no component in the y-axis.

Therefore, the net forces exerted on the blue sphere is directed along the negative y-axis.

The y component of the yellow sphere's position vector is negative.

Consider the following configuration of fixed, uniformly charged spheres (see the figure ):

- a blue sphere fixed at the origin with positive charge
*q*, - a red sphere fixed at the point (d
_{1}, 0) with unknown charge q_{red}, and - a yellow sphere fixed at the point (d
_{2}cos(θ), -d_{2}sin(θ)) with unknown charge q_{yellow}.

a) What is the sign on the charge of the yellow sphere? Positive or Negative

b) What is the sign of the charge on the red sphere? Positive or Negative

c) What is the sign of the charge on the blue sphere? Positive or Negative

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