Resposta de lista 1: 1) (6, -2); 2) (6, -15); 3) (1, 4); 4) (5, -6); 5) (18, -19); 6) (-16, 27); 7) (-4, -2);
8) (7, 5); 9) (-2, 5); 10) (2, 0, -2); 11) (0, 2, 3);
12) (0, 0); 13) (3, 2, -3); 14) (-4, -2, 5); 15) (3, 5, -8); 16) (5, 3, -1); 17) raiz 106, (9/raiz 106, -5/
raiz 106); 18) 13, (12/13, -5/13);
19) 9, (8/9, 1/9, 4/9); 20) (84/13, -35/13); 21) (raiz 3, -raiz 3, raiz 3); 22) a -25, 5, 5, b 180 grau,
c (-2, 4, -raiz 5)
23) a 3, 1, 13, b arccos (3/13), c (9/5, 0, 12/5); 24) a 25, 15, 5 b arccos (1/3) c (10/9, 11/9, -2/9);
25) a 10 + 7 raiz 17, raiz 74, raiz 21,
b arccos (10 + 7 raiz 17)/raiz 1554 c (10 + 7 raiz 17)/74 (5, 7); 26) A=C=arccos (1/raiz 5),
B=arccos (3/5). 27) u = u1 + u2, u1=(3/2, 3/2, 0)
u2 = (-3/2, 3/2, 4); 28) u1 = (1/2, 1/2, 0), u2 = (-1/2, 1/2, 1); 29) u1 = (14/3, 28/3, -14/3), u2 =
(10/3, -16/3, -22/3).
Resposta da Lista 2, questão 1-8: 1) (2, -1, 3); (2, -14, 1); (3, -4, 2); (-2, 0, 2); (2, 13, -8). 2) b, d, e
não faz sentido. a, f valor. c vetor. 3)ax(bxc)=(8, -8, -8), (axb)xc = (8, -8, 0). 4) (-2/raiz 6, -1/ raiz
6, 1/raiz 6) ou (2/raiz 6, 1/raiz 6, -1/raiz 6). 5) (1/raiz 6, 1/raiz 6, -2/raiz 6), ou (-1/raiz 6, -1/raiz
6, 2/raiz 6). 6) 16. 7) 2; 25/2; (raiz 6)/2; (raiz 18)/2 (ou (3 raiz 3)/2). 8) (2 raiz 35)/raiz 6.
14) a) (x, y, z) = (1, 0, -3) + t (2, -4, 5). x = 1 + 2t, y = -4t, z = -3 + 5t; (b) (x, y, z) = (2, -4, 10) + t(3,
1, -8).
x = 2 + 3t, y = -4 + t, z = 10 - 8t. 15) a) x = 1 - 5t, y = 3, z = 2 - 2t. (x - 1)/(-5) = (z -2)/(-2), y = 3;
(b) x = 6 - 4t, y = 1 + 3t, z = -1 + 6t. (x - 6)/(- 4) = (y - 1)/3 = (z + 1)/6. 16) (a) 2x - y - 5z + 1 = 0; (b)
y + 2z + 6 = 0; (c) 2x - y + 3z = 0; (d) x + y + z = 0; (e) x + y + z - 2 = 0; (f) 9x - 12 y - 11z = 0; (g) 13
x - 17 y - 7 z - 42 = 0.
