(a) Find a direction vector for the first line, which is given in parametric form. (b) Find parametric equations for the second line in terms of the parameter t. (c) Show that the two lines intersect at a single point by finding the values of s and t that result in the same point. Then find the point of intersection.

A second car also leaves at noon and drives in a southwesterly direction. At 2 pm, its location (777, 370); at 5 pm, its location is (648, 325). Write a set of parametric equations to describe its movement. Fill in the blanks. Give decimal values to three places. X = t + t +

Please give as much as detail as possible. Find the parametric equations of the line which passes through the point (2,0,-3) in the direction of the vector v = <0,-1,5> and find the distance between the point (-3,1,-5) and this line.

Find a set of parametric equations of the line with the given characteristics. (Use t for the parameter. Enter your answers as a comma-separated list of equations.) The line passes through the point (-6, 8, 7) and is perpendicular to the plane given by -x + 6y + z = 8.