2. Given the following equations for lines answer the following questions. q(t) = (5t 1,...

Transcribed Image Text:

2. Given the following equations for lines answer the following questions. q(t) = (5t – 1, 3t + 2,6t) - r(t) = (t + 4, 2t + 5, 6) a. What is one point that is contained on both q(t) and r(t)? b. Find an equation of the plane that contains both lines and the coordinate point found in part a. c. If the point used in the calculations for part b was a different point on line q, instead of the one found in part a, would the equation equal the same plane? Why or why not? Explain in your own words. 2. Given the following equations for lines answer the following questions. q(t) = (5t – 1, 3t + 2,6t) - r(t) = (t + 4, 2t + 5, 6) a. What is one point that is contained on both q(t) and r(t)? b. Find an equation of the plane that contains both lines and the coordinate point found in part a. c. If the point used in the calculations for part b was a different point on line q, instead of the one found in part a, would the equation equal the same plane? Why or why not? Explain in your own words.