midterm2-b - Name PID Sec No Sec Time TA Math 10C(Klep...

This preview shows page 1 - 5 out of 5 pages.

Name:PID:
1. Let d.: (6,L, - 2) and d : Zi - ZE. (a) (f pts) Find a vectororthogonal to both il, and d. uLu{ = \;t 1\ lg t2 -a I -- -r.l - G i- 3il * | )j\= - ?f *ui4 Q (b) (3 pts) What are two unit vectors orthogonal to both 17 and d ?
2. Consider the function z : f (r,A) : er-a. (u) (5 pts) Plot the vertical cross-sections when y is fixed to -1,0 and 1. . , + \ " t u * u /-\ a ; , ' ' ' - ? * * l (b) (5 pts) Write down the equations for the contours at heights 1, e, and e2, and draw a contour diagram with these three contours clearly labeled. I --- gx*? t = Tx-"t €-'" , tx'Y rGF O = Y'? r G ? l : X - ' t f i F F 3 " X * u } C . L
3. Let

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture