Lines, curves, and planes in Space (40 points): a. Find the equation of the line of intersection between x+y+z=3 and 2x+y+z=10. b. Derive the formula for a plane, wrote the vector equation first and then derive the equation involving x, y, and 2. c. Write the equation of a line in 3D, explain the idea behind this equation (2-3 sentences). d. Calculate the curvature ofy = xatx=1. Graph the curve and the osculating circle using GeoGebra