Let a, b, and c be non−collinear points in ℝ3. The circle in ℝ3 that passes through the three points is called the circumscribing circle for the triangle with vertices a, b, and c.
(a) Find the center q of the circumscribing circle. (Suggestion: Find a system of three equations, written in terms of dot products, cross products, and magnitudes that q satisfies.)
(b) For a = (1, 0, 1), b = (13, 1, 5), and c = (−4, −5, 1), find the center of the circumscribing circle.
(c) If a, b, and c, are non−collinear points in ℝ2, determine the center of the circumscribing circle.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.