I'm not sure how to use mathematica. please help with the code that I need for these 10 problems.

WOLFRAM MATHEMATICA STUDENT EDITION Code Text ["z", {1.05 len1 , , }], Text [ "y", {e, 1.05" len20)], Text ["z", (0, 0, 1.05 Len3))) Axes3[ Len, opts1: Axes3ILen (1, 1, 1), opts] Exercises . Problem 1 Let's start by defining 2 vectors. a (3, 2, 1)i b {1, 2, 2); We can graph vectors these using the Graphics3D and Arrow commands Graphics 3D [ (Axes3[4], Red, Arrow[ t (o, e, e), a)), Text ["a, 1.05 a], Green, Arrowt (to, o, o), b)l, Text ("b, 1.0s b]), Boxed False] Use Mathematica to compute c axb and add it to the graph of a and b above, color it blue, and add a label. Put the new graph below this cel a Problem 2 Use Mathematica to compute the magnitudes of a, b, and c s Problem 3 Compute proja b and graph it along with a and b. a Problem 4 The equation of the plane that passes through the origin that includes vectors a and b is 2x-5y+4z-0 Here is a graph of that plane along with vectors a and b. show [Graphics3D [ { Axes3 [4] , Red, Arrox( { {o, e, e), a ), Text ra", .es a), Green, Arro. I (-,, , text rs. .r.Boxed ale, Plotso (2x.Sy), ( -3, 3), (y -3,3), Mesh- Falsel] Find the equation of the plane that passes through the origin that includes vectors a and c. Graph the plane along with vectors a and c Find parametric equations for the line through the point P(1,2,3) that is parallel to the plane x +y+z-4 and perpendicular to the line x-2+t, y 2-t, z-3t. Use Plot3D to graph the plane . Problem 5 ParametricPlot3D to graph both lines, and Show to put all three graphs together. if right angles don't look right, try including options like PlotRange-6 and BorRatios+{1,1,1) . Problem 6 Compute and simplify the unit tangent vector T for r(t) [sint, cost, sin3t r (Sin[t], Cos[t], sin(3 t]) Problem 7 Compute and simplify the unit normal vector N for r(t)-(sint, cost, sin3t). (Note that N is a built-in function in Mathematica so you can't call your vector N. Try unitNormal or something like that Problem 8 Compute and simplify the unit binormal vector B for r() (sint, cost, sin 3t) Type here to search 3:02 P 40) 2/22/2 ^ a Problem 9 Graph the curve r(t) = {sint, cost, sin 30 and the corresponding T, N, and B vectors at 1 a Problem 10 I Graph the curve r(t) = {sint, cost, sin 30, the corresponding T N, and B vectors, the tangent line, and te normal plane at t O Type here to search SHIBA