Аналитическая геометрия. Локтионова Г.Н - 7 стр.

UptoLike

ВУЗ: 

ОГУ | Оренбург

Составители: 

Рубрика: 

7
20.
{} {}
{
} {}
3,5,2,1,0,1,2,0,1,3,5,11 −=
−
=
=−= rqpx .
21.
{} {}
{
} {}
2,1,4,0,1,1,1,0,2,5,0,8 =
=
== rqpx .
22.
{} {}
{
} {}
1,0,2,1,2,1,3,1,0,8,1,3 −=
−
=
== rqpx
.
23.
{} {}
{
} {}
1,1,1,2,0,3,1,2,1,12,1,8 −=
=
−
== rqpx .
24.
{}{}
{
} {}
2,1,1,0,2,3,1,4,1,3,8,9 −=
−
=
=−−−= rqpx
.
25.
{}{}
{
} {}
0,1,4,1,1,3,2,1,0,13,9,5 =
−
=
−
=−−= rqpx .
26.
{} {}
{
} {}
0,1,1,1,2,3,1,5,0,6,5,15 −=
−
=
=−= rqpx .
27.
{} {}
{
} {}
0,3,1,1,2,0,1,0,1,4,9,8 =
−
=
== rqpx .
28.
{} {}
{
} {}
1,2,4,1,0,1,0,1,2,3,1,3 =
=
== rqpx .
29.
{} {}
{
} {}
0,1,2,2,1,1,1,3,0,0,7,1 −=
−
=
=−= rqpx
.
30.
{} {}
{
} {}
1,0,4,1,1,3,1,2,0,9,8,0 =
−
=
−=−= rqpx .
Задача 2
Коллинеарны ли векторы q
p
,?
1.
{} {}
baqbapba 2,63,1,0,1,3,2,1 +−=
+
=
−
=−=
.
2.
{} {}
baqbapba 23,22,1,3,2,1,0,2 −=
+
=
−== .
3.
{} {}
baqbapba −=
+
=
−
−=−= 2,3,2,2,1,1,2,2
.
4.
{} {}
baqbapba −=
+
=
=−= ,32,1,1,2,3,2,1.
5.
{} {}
baqbapba 3,,2,0,5,1,5,2 −=
+
−
=
== .
6.
{} {}
baqbapba 2,,1,3,1,2,2,1 +=
+
=
−
=−= .
7.
{} {}
baqbapba +−=
−
=
−== 3,26,0,1,2,3,2,1.
8.
{} {}
baqbapba 24,3,3,1,2,1,3,1 +−=
−
+
=
=−=
.
9.
{} {}
baqbapba 62,3,2,0,1,2,2,1 −−=
+
=
=−−= .
10.
{} {}
baqbapba 66,,6,2,1,2,3,1 +−=
−
=
−==
.
11.
{} {}
baqbapba −=
+
=
−== 3,2,5,3,2,1,0,1.
12.
{} {}
baqbapba −=
+
=
−=−= 2,35,7,2,1,1,4,2 .
13.
{} {}
baqbapba 23,2,7,9,5,4,5,3 −=
+
−
=
== .
14.
{} {}
baqbapba 24,,1,1,1,2,4,1 +=
+
=
−
=−= .
15.
{} {}
baqbapba +−=
−
=
−=−= 2,24,0,1,3,5,2,1.
16.
{} {}
baqbapba +−=
−
=
−=−= 2,36,1,1,2,1,4,3.
17.
{}{}
baqbapba 3,93,5,0,1,2,3,2 −−=
+
=
=−−−=
.
18.
{} {}
baqbapba 36,2,6,2,3,2,4,1 +−=
−
=
−=−= .
19.
{} {}
baqbapba 36,2,3,2,7,1,0,5 +−=
−
=
=−= .
20.
{} {}
baqbapba 53,25,1,2,1,2,3,0 +=
−
=
−=−= .
21.
{} {}
baqbapba 66,,6,2,1,2,3,1 +−=
−
=
−== .
22.
{} {}
baqbapba 23,32,2,5,3,1,7,2 +=
+
=
−=−−= .
23.
{} {}
baqbapba +−=
−
=
−== 2,24,4,3,1,0,7,3.
24.
{} {}
baqbapba +−=
−
=
−=−−= 3,26,1,7,2,1,2,1
. 
20. x = {11, 5, − 3},      p = {1, 0, 2},     q   = {− 1, 0,1},    r   = {2, 5, − 3}.
21. x = {8, 0, 5},         p = {2, 0,1},      q   = {1,1, 0},      r   = {4,1, 2}.
22. x = {3,1, 8},          p = {0,1, 3},      q   = {1, 2, − 1},   r   = {2, 0, − 1} .
23. x = {8,1,12},          p = {1, 2, − 1},   q   = {3, 0, 2},     r   = {− 1,1,1} .
24. x = {− 9, − 8, − 3},   p = {1, 4,1},      q   = {− 3, 2, 0},   r   = {1, − 1, 2}.
25. x = {− 5, 9, − 13},    p = {0,1, − 2},    q   = {3, − 1,1},    r   = {4,1, 0}.
26. x = {− 15, 5, 6},      p = {0, 5,1},      q   = {3, 2, − 1},   r   = {− 1,1, 0}.
27. x = {8, 9, 4},         p = {1, 0,1},      q   = {0, − 2,1},    r   = {1, 3, 0}.
28. x = {3,1, 3},          p = {2,1, 0},      q   = {1, 0,1},      r   = {4, 2,1}.
29. x = {− 1, 7, 0},       p = {0, 3,1},      q   = {1, − 1, 2},   r   = {2, − 1, 0} .
30. x = {0, − 8, 9},       p = {0, − 2,1},    q   = {3,1, − 1},    r   = {4, 0,1}.

                                        Задача 2
   Коллинеарны ли векторы p, q ?
1. a = {1, 2, − 3},      b = {1, 0, − 1},     p = 3a + 6b ,        q   = −a + 2b .
2. a = {2, 0,1},         b = {− 2, 3,1},      p = 2a + 2b ,        q   = 3a − 2b .
3. a = {− 2, 2,1},       b = {− 1, − 2, 2},   p = a + 3b ,         q   = 2a − b .
4. a = {− 1, 2, 3},      b = {2,1,1},         p = 2a + 3b ,        q   = a −b .
5. a = {2, 5,1},         b = {5, 0, 2},       p = −a + b ,         q   = a − 3b .
6. a = {1, 2, − 2},      b = {1, 3, − 1},     p = a + b,           q   = a + 2b .
7. a = {1, 2, 3},        b = {2, − 1, 0},     p = 6a − 2b ,        q   = −3a + b .
8. a = {1, 3, − 1},      b = {2,1, 3},        p = + a − 3b ,       q   = −4a + 2b .
9. a = {− 1, − 2, 2},    b = {1, 0, 2},       p = a + 3b ,         q   = −2a − 6b .
10. a = {1, 3, 2},       b = {1, − 2, 6},     p = a −b,            q   = −6a + 6b .
11. a = {1, 0,1},        b = {− 2, 3, 5},     p = a + 2b ,         q   = 3a − b .
12. a = {− 2, 4,1},      b = {1, − 2, 7},     p = 5a + 3b ,        q   = 2a − b .
13. a = {3, 5, 4},       b = {5, 9, 7},       p = −2a + b ,        q   = 3a − 2b .
14. a = {1, 4, − 2},     b = {1,1, − 1},      p = a + b,           q   = 4a + 2b .
15. a = {1, − 2, 5},     b = {3, − 1, 0},     p = 4a − 2b ,        q   = −2 a + b .
16. a = {3, 4, − 1},     b = {2, − 1,1},      p = 6a − 3b ,        q   = −2 a + b .
17. a = {− 2, − 3, − 2}, b = {1, 0, 5},       p = 3a + 9b ,        q   = −a − 3b .
18. a = {− 1, 4, 2},     b = {3, − 2, 6},     p = 2a − b ,         q   = −6a + 3b .
19. a = {5, 0, − 1},     b = {7, 2, 3},       p = 2a − b ,         q   = −6a + 3b .
20. a = {0, 3, − 2},     b = {1, − 2,1},      p = 5a − 2b ,        q   = 3a + 5b .
21. a = {1, 3, 2},       b = {1, − 2, 6},     p = a −b,            q   = −6a + 6b .
22. a = {− 2, 7, − 1},   b = {− 3, 5, 2},     p = 2a + 3b ,        q   = 3a + 2b .
23. a = {3, 7, 0},       b = {1, − 3, 4},     p = 4a − 2b ,        q   = −2 a + b .
24. a = {− 1, 2, − 1},   b = {2, − 7,1},      p = 6a − 2b ,        q   = −3a + b .

                                                                                         7

Страницы