Question: 3. (2 points) Let a = (1, 2) and b = (3, -4) and c = (-1, -7) be position vectors for the vertices of

3. (2 points) Let a = (1, 2) and b = (3, -4) and c = (-1, -7) be position vectors for the vertices of a triangle. Find the average of the vertex positions, and use the properties of vector addition and scalar multiplication to show this is the intersection of the medians of the triangle. (A median of a triangle is a line segment from a vertex to the midpoint of the opposite side.)

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