Tutorial Exercise Determine whether the lines L, and L, are parallel, skew, or intersecting. - 1 z - 2 4 y- 17 z + 8 L2: -4 -12 15 Step 1 y-1_ z - 2 We begin by converting the lines to parametric...

Extracted text: Tutorial Exercise Determine whether the lines L, and L, are parallel, skew, or intersecting. - 1 z - 2 4 y- 17 z + 8 L2: -4 -12 15 Step 1 y-1_ z - 2 We begin by converting the lines to parametric forms. To convert the line L,: to %3D 4 parametric form, we equate its ratios to t and express x, y and z in terms of t. Therefore, * - Y- y - 1 z - 2 - = t !! 1 4 =x = t = y = 4t + 1 Using those parametric equations, we can now write the parametric equation of L, as follows. 4: (0, 1, 2) + t(1, 4, 5) Recall that if a line is given by a vector equation in the form r = r, + tv, then it passes through r, and v is its direction vector. Therefore, L, passes through the point (0, 1, ) and has direction vector (1, 4, ). 5.