I need help to figure out the code for #5 to put in mathematica. i dont need the solution just the input. thanks!

Find the equation of the plane that passes through the origin that includes vectors a and e. Graph the plane along with vectors a and c Problem 5 Find parametric equations for the line through the point P(1.2,3) that is parallel to the plane x +y+z-4 and ParametricPlot3D to graph both lines, and Show to put all three graphs together perpendicular to the line x 2+t,y 2-t, z-3t. Use Plot3D to graph the plane "tf right angles dont look right, try including options like PlotRange-5 and BoxRatios- (1.,1,1) Problem 6 Compute and simplity the unit tangent vector T for r()-(sint, cost, sin3t) r (t) - (sinit), cos(tl, sin(3t1)i Tx Simplify [r. / Norm [r.], Assumptions > 01 . Set: Tag Tines in (Sint, Coal, sinB eijt i Potected et: Tag Times in (Cost), -Sinll. 3 Cosatiyt is Protected 3 Cos3 t Protecte Set: Tag Times in V2 cos t V2 Sin t 11 9 Cos 6t 40) 2,24/2013 12:14 PM cR O Type here to search