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A gameboard is shown below. The shape o the game board is an isosceles triangle. The base of the gameboard has a length $b$ and the sides of the gameboard each have a length s$.$ A Cartesian coordinate system has been chosen and the origin of this system has been placed at the top of the triangle.

A$.$ Draw a position vector vec$(r{)}_A$ that defines the location of the exact middle of the base of the gameboard. Express vec$(r{)}_A$ in component form. Show all steps in whichever method you choose to accomplish this task. Your final expression may only contain symbols from the diagram or problem statement.

B$.$ Draw a position vector vec$(r{)}_B$ that defines the location of the bottom right corner of the

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you choose to accomplish this task. Your final expression may only contain symbols from the diagram or problem statement.

B$.$ Draw a position vector vec$(r{)}_B$ that defines the location of the bottom right corner of the gameboard. Express vec$(r{)}_B$ in component form. Show all steps in whichever method you choose to accomplish this task. Your final expression may only contain symbols from the diagram or problem statement.

C$.$ Draw a position vector vec$(r{)}_C$ that defines the location of the middle of the left side of the gameboard. The smallest angle that vec$(r{)}_C$ makes with a vertical line placed at its tail is $.$ Express vec$(r{)}_C$ in component form. Show all steps in whichever method you choose to accomplish this task. Your final expression may only contain symbols from the diagram or problem statement.

D$.$ A new vector vec$(r{)}_D$ has a component form expression vec$(r{)}_D=-$bhat$(x)-2$bhat$(y).$ Draw vec$(r{)}_D$ on the diagram.