2. Vectors scalar quantities magnitude mass temperature electric potential

3. vectors magnitude & direction bold face in text force heat flux electric field magnetic field

6. MATLAB A = [A x A y A z ]; norm (A) A = [3 4 12]; a = norm (A); a 13

8. A+B A B

9. A-B A B -B

11. a = 1u x + 2u y + 3u z b = 3u x + 2u y + 1u z c = a + b c = 4u x + 4u y + 4u z >> a = [1 2 3]; >> b = [3 2 1]; >> c = a + b; c = 4 4 4 vectors - addition

13. B A 

14. B A 

16. B A 

17. x y z xx xx yy yy zz zz A

18. MATLAB dot (A, B) A = [1 2 3]; B = [2 3 4]; c = dot (A, B); c 20

20. x y z A B 

21. x y z A  B

22. x y z A B

23. x y z A B 

24. x y z A B 

25. x y z A B 

26. x y z A B  area = AB sin 

28. MATLAB A = [1 0 0]; B = [0 1 0]; c = cross (A, B); c 0 0 1 d = cross (B, A); d 0 0 -1

30. intersection of 3 planes x y z

33. intersection of 2 planes and a cylinder  x y z  z

34.   r

36. There are MATLAB commands that permit you to go back and forth between different coordinate systems. They are listed in the text for this class.

39. h 2 d     h 1 d     h 3 d    