This is Calculus and Vector Analysis.

Please solve all question with step by step

I. Find the given vector. 1. ev where v = (4, 2,1). 2. Unit vector in the direction opposite to v = {4,4,2). Answer for #1: Answer for #2: 11. Find a Vector parametrization and parametric equations for the line with the given description. 1. Passes through P = (4,0, 8), direction vector v = 7i + 4k. 2. Passes through (1,1,1) and (a, 5,2), Answer for #1: Answer for #2: Page of 10 ZOOM + 3. Perpendiculax to the Iy plane, passes through the origin. 4. Parallel to the line through (1,1,0) and (051,72), passes through (0,0,4). Answer for #3: Answer for #4: Page of 10 ZOOM + III. Determine whether the lines 1'1") : (O: 131) + t(151+2) and 1'3") =(21013)+ "15494) intersect. If so, nd the point of intersection. v. Find the decomposition v = v" + V; with respect to u, 1. v = (4,1,0),u= (0,1,1). 2. v=,u=A Answer for #1: Answer for #2: Page of 10 ZOOM + Page M10 0 mm + VI. Calculate the cross product assuming um V X w = (2, 71, 1), u x v = (1,1,0), and u x w = (0, a, 1). 1. w> of10 ZOOM + Page