3 questions

Find both the vector equation and the parametric equations of the line through (0,0,9) in the direction of the vector v = (2, -5,0), where t = 0 corresponds to the given point. The vector equation is (x.y.z) = + The parametric equations are x = . y =. z=. (Use the answer from the previous step to find this answer.) Question 1 of 4 This quiz: 4 point(s) possible This question: 1 point(s) possible K Determine whether the following pair of lines is parallel, intersects at a single point, or is skew. If the lines are parallel, determine whether they are the same line (and the lines intersect at a single point, determine the point of intersection. r= (3,2,4) +t(4, -7,1) R= (9,4,12) + s (3,1,4) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The lines intersect at the single point ( (Simplify your answers.) O B. The lines intersect at all points on the line r(t). O C. The lines are parallel. O D. The lines are skew. Question 3 of 4 > Find the distance from the point to the line. (5,3, -6); x = -6-2t, y= 5-t, z= -1+3t The distance is .(Type an exact answer, using radicals as needed.)