1. [1 2 1]*[4 3 5] = 
1(4) + 2(3) + 1(5) = 15
13. [1 1 1], [1, -2, -2]
u.v = 1(1) + (-2) + (-2) = -3
arccos(-3/(sqrt(1)sqrt(9)) = 180, Obtuse
21. [i j] [j 2k] = [1 1 0] [0 1 2]
u.v = 0 + 1 + 0 = 1
cos(arccos(1/sqrt(2)sqrt(5))) = 1/sqrt(10) or .316228
29. [b 3 2] [1 b 1]
2 vecs are orthogonal if and only if there dot products = 0
b + 3b + 2 = 0, b = -.5
31. 2x + 0y -3z = 0
[0 1 0] [3 2 2]
57. ([5 7 -4][0 0 -4])/4 * [0 0 -4] = -4k
63. 4.123106 --> sqrt(17)

1. 
|1 2|
|4 3|
3-2(4) = -5
5. 
1(-3) - 2(4) + 1(3) = -8
13. -j + i
21. [4 4 0]
25. -u
27. [0 3 3]
39. u*(v x w) = V = 4
41. 5.92
43. A = 7.8
45. 3

1. x+3y+2z=3
5. x = 3
9. x = 0
11. b, d
15. [3 -8 11]
17. 6x+9y+4z=19
19. x+2y-z=1
25. x+z=3
31. shape = rhombus
53. 3lambdax + by + 2lambdaz = +5lambda

5. r(t) = (3+3t)i - (5+0)j + (7+t)k
17. radius = 9, C(0, 0)

3. [i+4k]
5. [-1/t^2 cos(t) 0]
7. [1 2t 3t^2]
15. Both curves resemble a parabola w/ a vector
tan in the first quadrant
31. [-3-4t 10+5t 16+24t]
33. [2-t - -1/3+1/2t]
41. [0 0]
49. r(t)=[1/3t^2 5t^2/2 t]+C