Материал: 2492

1.

a = {0,3,− 2};

= {1,− 2,1}; c1 = 5a − 2

;

c2 = 3a + 5

.

b

b

b

2.

A(−1,− 2,1);B(− 4,− 2,5);C(−8,− 2,2).

3.

π

a = 4 p − q; b = p + 2 q;

p

= 5;

q

= 4;

=

.

pq

4

4.

A1(2,−1,2);

A2 (1,2,−1);

A3(3,2,1);

A4 (− 4,2,5).

5. F{− 4, 5, − 2 }; A(− 5, 2,− 5); B(− 4,− 3, 5).

Вариант 13

И

1.

a = {− 2, 7, −1};

= {− 3,5,2};

c1 = 2a + 3

;

c2

=

3a + 2

.

b

b

b

2.

A(6,2,− 3);B(6,3,− 2);C(7,3,

Д

− 3).

3.

А

π

a = 2 p + 3q; b = p − 2 q;

p

= 6;

q

= 7;

=

.

pq

3

б

A1(1,1,2);

A4 (−1,0,−

2).

4.

A2

(−1,1,3);

A3(2,− 2,4);

5.

F{− 2, 3,1

};

и

B( 1,3,−1).

A(−1,5,6);

С

Вариант 14

1.

a = {3,7,0};

= {1,− 3,4}; c1 = 4a − 2

;

c2 = −2a +

.

b

b

b

2.

A(0,0,4);B(− 3,− 6,1);C(− 5,−10,−1).

3.

π

a = 3 p − q; b = p − 2 q;

p

= 3;

q

= 4;

=

.

pq

3

4.

A1(2,3,1);

A2 (4,1,− 2); A3(6,3,7);

A4 (7,5,− 3).

5.

F{3, 1, − 4 };

A(− 3,8,1); B(− 8, 4, 7).

Вариант 15

1.

a = {−1,2,−1};

= {2, − 7,1};

c1 = 6a − 2

;

c2 = −3a +

.

b

b

b

2.

A(2,− 8,−1);B(4,− 6,0);C(− 2,− 5,−1).

3.

π

a = 2 p + 3q; b = p − 2 q;

p

= 2;

q

= 3;

=

.

pq

4

4.

A1(1,1,−1);

A2 (2,3,1);

A3(3,2,1); A4 (5,9,− 8).

5.

F{6, 3, − 2 };

A(− 5,3,− 6);

B(− 4,− 3,− 2).

Вариант 16

И

1.

a = {7,9,− 2};

= {5,4,3};

c1

= 4a −

; с2

= −a + 4

.

b

b

b

2.

Д

A(3,− 6,9);B(0,− 3,6);C(9,−12,15).

3.

А

π

a = 2 p − 3q; b = 3 p + q;

p

= 4;

q

= 1;

=

.

pq

6

б

A1(1,5,− 7);

A4 (− 4,8,−12).

4.

A2 (− 3,6,3); A3(− 2,7,3);

5.

F{6, 4, − 3

и

B(−7,3,− 2).

};

A(− 5,−

6,1);

С

Вариант 17

1.

a = {5,0,− 2};

= {6, 4,3}; c1 = 5a + 3

; c2 = −10a + 6

.

b

b

b

2.

A(0,2,− 4);B(8,2,2);C(6,2,4).

3.

π

a = 5 p + q; b = p − 3q;

p

= 1;

q

=

=

.

2; pq

3

4.

A1(− 3,4,− 7);

A2 (1,5,− 4);

A3(− 5,− 2,0);

A4 (2,5,4).

5.

F{ 4, −1, 3 };

A(−1,−8,1);

B(−1,3,− 2).

1.

a = {8,3,−1};

= {4,1,3};

c1 = 2a −

; c2 = −4a + 2

.

b

b

b

2.

A(3,3,−1);B(5,1,− 2);C(4,1,1).

3.

1

π

a = 7 p − 2 q; b = p + 3q;

p

=

;

q

=

2;

.

2

pq

=

2

4.

A1(−1,2,− 3);

A2 (4,−1,0);

A3(2,1,− 2);

A4 (3,4,5).

5.

F{0, − 4, 2 };

A(− 3,−6,1);

B(−3,2,− 2).

Вариант 19

И

1.

a = {3,−1,6};

= {5,7,10};

c1

= 4a

− 2

;

c2 = −2a +

.

b

b

b

2.

A(− 4,3,0);B(0,1,3);C(− 2,4,

Д

− 2).

3.

А

π

a = 6 p − q; b

= p + q;

p

= 3;

q

= 4; p q =

4 .

б

A1(4,−1,3);

(3,2,0).

4.

A2 (− 2,1,0);

A3(0,− 5,1);

A4

5.

F{− 3,1, − 5

и

2);

B(−1, 2, 3).

};

A(−

4,5,−

С

Вариант 20

1.

a = {1,− 2,4};

= {7,3,5}; c1 = 6a − 3

; c2 = −2a +

.

b

b

b

2.

A(1,−1,0);B(− 2,−1,4);C(8,−1,−1).

3.

π

a = 10 p + q; b = 3 p − 2 q;

p

= 4;

q

=

1;

.

pq

=

6

4.

A1(1,−1,1);

A2 (− 2,0,3);

A3(2,1,−1);

A4 (2,− 2,− 4).

5.

F{− 2, 8, − 3 };

A(− 4,0,− 2);

B(− 3,− 2,3).

1.

a = {3,7,0};

= {4,6,−1}; c1 = 3a + 2

;

c2 = 5a − 7

.

b

b

b

2.

A(7,0,2);B(7,1,3);C(8,−1,2).

3.

1

π

a = 6 p − q; b = p + 2 q;

p

= 8;

q

=

=

.

2

; pq

3

4.

A1(1,2,0);

A2 (− 2,0,3);

A3(2,1,−1);

A4 (2,− 2,− 4).

5. F{−1, 3, − 6 }; A(−8,7,− 2); B(− 5,2,− 3).

Вариант 22

И

1.

a = {− 2,−1,4};

= {3,− 7,− 6};

c1 = 2a

− 3

;

c2 = 3a − 2

.

b

b

b

2.

Д

A(2,3,2);B(−1,− 3,−1);C(− 3,− 7,− 3).

3.

А

π

a = 3 p + 4 q;

b = − p + q;

p

= 2,5;

q

= 2;

=

.

p q

2

б

A1(1,0,2);

A4 (2,1,0).

4.

A2

(1,2,−1);

A3(

2,− 2,1);

5.

F{− 3,1, 7

};

и

A(−

4,−1,− 2); B(4,− 5,− 2).

С

Вариант 23

1.

a = {5,−1,− 2};

= {6,0,7};

c1 = 3a − 2

; c2 = −6a + 4

.

b

b

b

2.

A(2,2,7);B(0,0,6);C(− 2,5,7).

3.