In Exercises 7-20, give the equation of the described plane in standard and general forms. 7. Passes through (2,3,4) and has normal vector 7=(3,-1,7).

Algebra & Trigonometry with Analytic Geometry
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Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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10.6)question 7
6. 4(y + 2)-(²-6)=0
In Exercises 7-20, give the equation of the described plane
in standard and general forms.
7. Passes through (2,3,4) and has normal vector
7=(3,-1,7).
8. Passes through (1,3,5) and has normal vector
7 = (0,2,4).
9. Passes through the points (1, 2, 3), (3, —1, 4) and (1, 0, 1).
10. Passes through the points (5, 3, 8), (6, 4, 9) and (3,3,3). I
11. Contains the intersecting lines
(t) = (2,1,2) + t (1,2,3) and
2(t) = (2, 1, 2) + t (2, 5, 4).
12. Contains the intersecting lines
₁(t)=(5,0,3)+t(-1,1,1) and
₂(t) = (1,4,7) + t (3, 0, -3).
13. Contains the parallel lines
(t) = (1, 1, 1) + t (1, 2, 3) and
ez(t) = (1, 1, 2) + t (1, 2, 3).
14. Contains the parallel lines
(t)= (1, 1, 1) + t (4, 1, 3) and
₂(t) =(4,4,4) + t (4, 1, 3).
15. Contains the point (2, -6, 1) and the line
x = 2 + 5t
l(t) = { y = 2+2t
z = -1 + 2t
In Exe
intersa
21. pl
p2
22. p1:
p2:
In Exerc
the line
23. line:
plane:
24. line: (4
plane:
25. line: (1,
plane: 3
26. line: (1,
plane: 3x
In Exercises 2
27. The distan
3(x-1) +
28. The distanc
2(x-1)-
29. The distance
x+y+z=
(x-2) + (y
Transcribed Image Text:6. 4(y + 2)-(²-6)=0 In Exercises 7-20, give the equation of the described plane in standard and general forms. 7. Passes through (2,3,4) and has normal vector 7=(3,-1,7). 8. Passes through (1,3,5) and has normal vector 7 = (0,2,4). 9. Passes through the points (1, 2, 3), (3, —1, 4) and (1, 0, 1). 10. Passes through the points (5, 3, 8), (6, 4, 9) and (3,3,3). I 11. Contains the intersecting lines (t) = (2,1,2) + t (1,2,3) and 2(t) = (2, 1, 2) + t (2, 5, 4). 12. Contains the intersecting lines ₁(t)=(5,0,3)+t(-1,1,1) and ₂(t) = (1,4,7) + t (3, 0, -3). 13. Contains the parallel lines (t) = (1, 1, 1) + t (1, 2, 3) and ez(t) = (1, 1, 2) + t (1, 2, 3). 14. Contains the parallel lines (t)= (1, 1, 1) + t (4, 1, 3) and ₂(t) =(4,4,4) + t (4, 1, 3). 15. Contains the point (2, -6, 1) and the line x = 2 + 5t l(t) = { y = 2+2t z = -1 + 2t In Exe intersa 21. pl p2 22. p1: p2: In Exerc the line 23. line: plane: 24. line: (4 plane: 25. line: (1, plane: 3 26. line: (1, plane: 3x In Exercises 2 27. The distan 3(x-1) + 28. The distanc 2(x-1)- 29. The distance x+y+z= (x-2) + (y
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