In Exercises 3-6, give any two points in the given plane. 3. 2x - 4y +7z=2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 7E
icon
Related questions
Question
10.6) question 3
4
2. What is the relationship between a plane and one of its nor-
mal vectors?
Problems
In Exercises 3-6, give any two points in the given plane.
3. 2x - 4y+7z = 2
4. 3(x+2)+5(y-9) - 4z=0
5. x = 2
6. 4(y + 2)-(z - 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
n = (3,-1,7).
8. Passes through (1, 3, 5) and has normal vector
n = (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).
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
O Search
I
17. Con
e(t)
18. Cont
l(t)
19. Conta
3(x-
20. Contai
x = 5.
In Exercise
intersectio
21. p1: 3(x
p2: 2(x
22. p1: 5(x
p2: 3x-
In Exercises.
the line and
23. line: (5, 1,
plane: 5x -
24. line: (4, 1, C
plane: 3x +
25. line: (1, 2, 3,
plane: 3x-
Transcribed Image Text:4 2. What is the relationship between a plane and one of its nor- mal vectors? Problems In Exercises 3-6, give any two points in the given plane. 3. 2x - 4y+7z = 2 4. 3(x+2)+5(y-9) - 4z=0 5. x = 2 6. 4(y + 2)-(z - 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 n = (3,-1,7). 8. Passes through (1, 3, 5) and has normal vector n = (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). 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 O Search I 17. Con e(t) 18. Cont l(t) 19. Conta 3(x- 20. Contai x = 5. In Exercise intersectio 21. p1: 3(x p2: 2(x 22. p1: 5(x p2: 3x- In Exercises. the line and 23. line: (5, 1, plane: 5x - 24. line: (4, 1, C plane: 3x + 25. line: (1, 2, 3, plane: 3x-
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 16 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage