5) |u|*sin(45) = y, |u|*cos(45) = x
7) |w|sin(20) = y, |w|cos(20) = x
9) (2-3, 7-2) = (-1, 5)
11) (1-3, -4-5) = (-2, -9)
15) (5*6, 5*2) = (30, 10)
21) 2v = (2*2, 2*3) = (4, 6)
-w = (-4, -1)
v+w = (2+4, 3+1) = (6, 4)
2v-w = (4, 6)-(4, 1) = (0, 5)
41) sqrt(3^2+4^2) = sqrt(25) = 5
unit vector uv = (3/5, 4/5)
47) ue = (cos(4pi/7), sin(4pi/7))


11) R = (1, 4, 3) 1-3 = -2, 4--2 = 6, 3-3 = 0
P = (-2, 6, 0)
13) a, b/c 2a = v. Thus, it's parallel and in the same direction.
c is also parallel, but in the opposite direction b/c of the opposing signs
19) (-16, -22, -6) + (8, 4, 4) = (-8, -18, -2)
25) Not Parallel
27) Not Parallel
31) |v| = sqrt(16+16+4) = 6
uv in opposite direction = (4/6, -4/6, -2/6)
49) r1(t) = (5, 5, 2) + t(0, -2, 1)
r2(t) = (5, 5, 2) + t(0, -100, 50)
51) -1+4t
2-2t
2+t

2s
1
1+s

-1+4t = 2s
2-2t = 1
2+t = 1+s

-1+4t = 2s
2(2-2t = 1)

-1+4t = 2s
4-4t = 2

3 = 2s+2
s=1/2
t=1/2

2+.5 != 1+.5