Question: Show steps thoroughly as I don't know much about this unit through the three points MI, 1, 1), B(2, 3, 4), and CO, o, 1).

Show steps thoroughly as I don't know much about this unit

through the three points MI, 1, 1), B(2, 3, 4), and CO, o, 1). a. Determine vector and parametric equations for this plane. b. What is the z-intercept for this plane? c. Identify a normal vector for this plane. Show your thinking. d. What is a scalar equation for this plane? e. Thinking. Consider a line t. [x, y, z] = [1, 2, -4] + t[-3, 4, 5], t e R and the plane Th. What would the intersection between and the plane Th be? Show your thinking (e.g., algebraic work, diagram).
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