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3. (x − 1)2 + 2(y + 1)2 − 3z2 + 5 = 0 — |
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4. d = 3. 5. |
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λ2 = 2, e2 = (1,1).
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b = {1; |
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(x). 4. C = −1. 5. 300. |
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6. |
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(x − 1)2 + (y + 5)2 + (z − 2)2 = 36, |
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2. 129. 3. x = {1,2,3}. 4. |
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2. a = {1,−1,± |
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5. x − 3y + z − 1 = 0. 6. |
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2. 2. 3. 10 . 4. x2 + y2 + 4z2 − 2x − 8z + 1 = 0. 5. 6x − 2y + 17 = 0 3
2x + 6y − 8z − 7 = 0. 6. 1.
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2.{−85,−35,−40}. 3. |
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{45,18,−1}. |
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arccos |
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10
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450. 3. 5. 4. |
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14. 3. A = 1. 4. a = −4. 5. 2x + 3y + z = 0. 6. e3 |
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20x − 4y − 5z + 133 = 0 |
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20x − 4y − 5z − 119 = |
0. 5. {−4,10,−2} |
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13
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cosα = |
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cosβ = |
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cosγ = 0. |
3. |
C = −6. |
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55
4. x2 − 4y2 − 4z2 − 4x + 4 = 0. |
5. |
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6. |
y + z + 1 = 0. |
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27. 3. |
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4. {−8,0,−4} = 45. 6. A = 4.
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16
2. x + y − 2z = 0. 3. {−12,4,−6}. 4. a + b + c. 5.
(3,−1,1).
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2. |
97. 3. λ = λ = −1, e = (1,1). 4. |
5 |
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x + y + 1 = 0. 3. |
x − 1 |
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4. |
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2. |
2 13. |
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3. λ1 = 4, e1 = (2,5), |
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1089. 6. A = 3, B = 6. |
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AB = 3, |
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arcsin |
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2. |
x = 2t + 1, |
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(1,1,−2). 6. x − 2y + z − 1 = 0.
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2. = {1,1,−1}. 3. {2,−1,−1}. 4. 210 . 5. a > −3. 6. 600. 5