Контрольная работа № 1

Вариант 3

1.

A1(7, 2, 4);

A2 (7, −1, − 2);

A3 (3,3,1);

A4 (− 4, 2,1).

2.

x = {1,− 4,4};

p = {2,1, −1}; q = {0,3, 2};

r

= {1, −1,1}.

3.

a = {1,5, 2};

= {−1,1, −1}; c = {1, 1, 1}.

b

Вариант 4

1.

A1(2,1, 4);

A2 (−1,5, − 2);

A3 (− 7, − 3, 2);

A4 (− 6, − 3,6).

2.

x = {− 9,5,5};

p = {4,1,1}; q = {2,0, − 3};

r

= {−1, 2,1}.

3.

a = {1, −1, − 3};

= {3, 2,1}; c = {2,3, 4}.

b

Вариант 5

1.

A1(−1, − 5, 2); A2 (− 6,0, − 3); A3 (3,6, − 3); A4 (10,6,7).

2.

x = {− 5, − 5,5}; p = {− 2, 0,1}; q = {1,3, −1};

r

= {0, 4,1}.

3.

a = {3,3,1};

= {1, − 2,1}; c = {1,1,1}.

И

b

б

и

ВариантД6

1.

A (0, −1, −

9);

A (−1, − 6,3).

1);

A (− 2,3,5); A (1, − 5, −

1

2

А3

4

2.

x = {13,2,7}; p =

{5,1,0};

q = {2, −1,3};

r

= {1,0, −1}.

3.

a = {3,1, −1};

= {− 2, −1,0}; c = {5, 2, −1}.

b

A (5, 2,С0); A (2,5,0);

Вариант 7

1.

A

(1, 2, 4); A

(−1,1,1).

1

2

3

4

2.

x = {−19, −1, 7};

p = {0,1,1}; q = {− 2, 0,1};

r

= {3,1, 0}.

3.

a = {4,3,1};

= {1, − 2,1}; c = {2, 2, 2}.

b

Вариант 8

1.

A1(2, −1, − 2);

A2 (1, 2,1);

A3 (5,0, − 6);

A4 (−10,9, − 7).

2.

x = {3, − 3, 4};

p = {1,0, 2}; q = {0,1,1};

r

= {2, −1, 4}.

3.

a = {4,3,1};

= {6, 7, 4}; c = {2, 0, −1}.

b

Вариант 9

1.

A1(− 2, 0, − 4);

A2

(−1, 7,1); A3

(4, − 8, − 4);

A4 (1, − 4, 6).

2.

x = {3,3, −1};

p =

{3,1, 0}; q =

{−1, 2,1};

r

= {−1, 0, 2}.

3.

a = {3, 2,1};

= {1, − 3, − 7}; c = {1, 2,3}.

b

Вариант 10

1.

A1(14, 4,5); A2 (− 5, − 3, 2); A3 (− 2, − 6, − 3); A4

(− 2, 2, −1).

2.

x = {−1, 7, − 4};

p = {−1, 2,1};

q = {2,0,3};

r

=

{1,1, −1}.

3.

a = {3,7,2};

= {− 2,0,−1}; c = {2,2,1}.

b

Вариант 11

1.

A1(1, 2, 0); A2 (3, 0, − 3); A3 (5, 2, 6); A4 (8, 4, − 9).

2.

x = {6,5, −14};

p = {1,1, 4}; q = {0, − 3, 2};

r

= {2,1,−1}.

3.

a = {1, − 2,6};

= {1,0,1}; c = {2, − 6,17И}.

b

б

ВариантД12

1.

A (2, −1, 2);

и

A (

4, 2,5).

A

(1, 2, −1); A (3, 2,1);

−

1

2

А3

4

2.

x = {6, −1, 7};

p = {1, − 2, 0}; q

= {−1,1,3};

r

= {1,0, 4}.

3.

a = {6,3, 4};

= {−1, − 2, −1}; c = {2,1, 2}.

b

Вариант 13

1.

A (1,1,С2); A (−1,1,3);

A (2, −

2, 4);

A (

−

1, 0, − 2).

1

2

3

4

2.

x = {5,15,0};

p = {1, 0,5}; q = {−1,3, 2};

r

= {0,−1,1}.

3. a = {7,3, 4};

= {−1, − 2, −1}; c = {4, 2, 4}.

b

Вариант 14

1.

A1(2,3,1);

A2

(4,1, − 2);

A3 (6,3,7);

A4 (7,5, − 3).

2.

x = {2, −1,11}; p = {1,1,0}; q = {0,1, − 2};

r

= {1,0,3}.

Вариант 15

1.

A1(1,1, −1);

A2 (2,3,1);

A3 (3, 2,1); A4 (5,9, − 8).

2.

x = {11,5,− 3}; p = {1,0,2}; q = {−1, 0,1};

r

= {2,5, − 3}.

3. a = {5,3, 4};

= {−1,0, −1}; c = {4, 2, 4}.

b

Вариант 16

1.

A1(1,5, − 7); A2 (− 3,6,3); A3

(− 2,7,3); A4 (− 4,8, −12).

2.

x = {8, 0,5};

p = {2, 0,1};

q =

{1,1, 0};

r

= {4,1, 2}.

3.

a = {3,10,5};

= {− 2, − 2, − 3}; c = {2, 4,3}.

b

Вариант 17

1.

A1(− 3, 4, − 7); A2 (1,5, − 4); A3 (− 5, − 2, 0); A4 (2,5, 4).

2.

x = {3,1,8};

p = {0,1,3}; q = {1, 2, −1};

r

= {2, 0, −1}.

3.

a = {− 2, − 4, − 3};

= {4,3,1}; c = {6,7,И4}.

b

б

ВариантД18

1.

и

A (−1, 2, − 3); A

(4, −

1, 0); A (2,1, − 2); A (3, 4,5).

1

2

А3

4

2.

x = {8,1,12};

p = {1, 2,

−1}; q

= {3,0,2};

r

= {−1,1,1}.

3.

a = {3,1,−1};

= {1,0,−1}; c = {8,3,− 2}.

b

Вариант 19

1.

A (4, −С1,3); A (− 2,1, 0); A (0, − 5,1);

A (3, 2, 0).

1

2

3

4

2.

x = {− 9, − 8, − 3};

p = {1, 4,1}; q = {− 3,2,0};

r

= {1,−1,2}.

3.

a = {4, 2, 2};

= {− 3, − 3, − 3}; c = {2,1, 2}.

b

Вариант 20

1.

A1(1, −1,1);

A2 (− 2, 0,3); A3 (2,1, −1);

A4 (2, − 2, − 4).

2.

x = {− 5,9,−13};

p = {0,1, − 2}; q = {3, −1,1};

r

= {4,1, 0}.

3.

a = {4,1, 2};

= {9, 2,5}; с = {1,1, −1}.

b

Вариант 21

1.

A1(1, 2, 0); A2 (− 2, 0,3);

A3 (2,1, −1); A4 (2, − 2, − 4).

2.

x = {−15,5, 6}; p = {0,5,1}; q = {3,2,−1};

r

= {−1,1,0}.

3. a = {5,3, 4};

= {4,3,3}; c = {9,5,8}.

b

Вариант 22

1.

A1(1, 0, 2); A2 (1, 2, −1);

A3 (2, − 2,1); A4 (2,1, 0).

2.

x = {8,9, 4};

p = {1,0,1};

q = {0, − 2,1};

r

= {1,3,0}.

3.

a = {3,4,2};

= {1,1,0}; c = {8,11,6}.

b

Вариант 23

1.

A1(1, 2, − 3);

A2 (1, 0,1);

A3 (− 2, −1, 0);

A4 (0, − 5, − 4).

2.

x = {23, −14, − 30}; p = {2,1,0}; q = {1, −1, 0};

r

= {− 3, 2,5}.

3. a = {4, −1, − 6};

= {1, − 3, − 7}; c = {2,И−1, − 4}.

b

б

ВариантД24

1.

и

− 3); A (1, −1, 2).

A (3,10, −1); A (− 2,3, − 5); A (− 6, 0,

1

2

А3

4

2.

x = {3,1,3};

p = {2,1,0};

q = {1, 0,1};

r

= {4, 2,1}.

3.

a = {3,1,0};

= {− 5, − 4, − 5}; c = {4, 2, 4}.

b

A (−1,С2, 4); A (−

Вариант 25

1.

1, − 2,

− 4); A (3, 0, −1); A (7, − 3,1).

1

2

3

4

2.

x = {−1, 7, 0}; p =

{0,3,1}; q = {1, −1, 2};

r

= {2, −1, 0}.

3.

a = {3,1, 0};

= {− 5, − 4, − 5}; c = {4, 2, 4}.

b

Вариант 26

1.

A1(0, − 3,1);

A2 (− 4,1, 2); A3 (2, −1,5);

A4 (3,1, − 4).

2.

x = {11, −1, 4}; p = {1, −1, 2}; q = {3, 2, 0};

r

= {−1,1,1}.