(-2, 1, 7) and the y-axis. 51. Equations of planes Consider the plane passing through the points (0, 0, 3), a. Find an equation of the plane. (1, 0, –6), and (1, 2, 3). b. Find the intercepts of the plane with the three coordinate axes. c. Make a sketch of the plane.
(-2, 1, 7) and the y-axis. 51. Equations of planes Consider the plane passing through the points (0, 0, 3), a. Find an equation of the plane. (1, 0, –6), and (1, 2, 3). b. Find the intercepts of the plane with the three coordinate axes. c. Make a sketch of the plane.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.2: The Rectangular Coordinate System And Graphing Lines
Problem 103E
Related questions
Question
#51, second pic is the answer in the back of the book
Transcribed Image Text:torque change as her leg is lifted?
0.4 m
m= 10 kg
mg =98 N
46-50. Lines in space Find an equation of the following lines or line
segments.
46. The line that passes through the points (2, 6,-1) and (-6, 4, 0)
47. The line segment that joins the points (0, -3, 9) and (2,-8, 1)
48. The line through the point (0, 1, 1) and parallel to the line
R= (1+ 2t, 3 – 5t, 7+ 6t).
49. The line through the point t (0, 1, 1) that is orthogonal to both
(0, –1, 3) and (2, –1, 2).
50. The line through the point (0, 1, 4) and orthogonal to the vector
(-2, 1, 7) and the y-axis.
51. Equations of planes Consider the plane passing through the points
(0, 0, 3), (1, 0, -6), and (1, 2, 3).
a. Find an equation of the plane.
b. Find the intercepts of the plane with the three coordinate axes.
c. Make a sketch of the plane.
52-53. Intersecting planes Find an equation of the line of intersection of the
planes Q and R.
52. Q: 2x +y- z = 0, R: -a + y+ z = 1
53. Q: -3x + y+ 2z 0, R: 3x + 3y+4z- 12 =0
54-57. Equations of planes Find an equation of the following planes.
54. The plane passing through (5, 0, 2) that is parallel to the plane
2x +y - z = 0
55. The plane containing the linn
Transcribed Image Text:7.
(1, 2, 2);
9.
b.
-1, 2, 2); 7
C.
3.
35. D 250 V 2 It-ID
37. D 90 3 1b; 90 lb
39. 쁘 11
12
2
41.무 ±
V197
V197' V197
43. D (-10, 10, 10)
45.므기(8) :
0 = T/2) and a minimum value of 0 N-m (when 0 = 0). Direction d
39.2 sin 0 has a maximum value of 39.2 N-m (whe
not change.
47. 쁘 r
= (0,-3, 9) +t (2, – 5, –8), 0 <t<1
49. Or = (t, 1+ 6t, 1+ 2t)
51. D
a. 18x – 9y+ 2z = 6
1
z = 3
3
b. x =
3'
6.
с.
53. O x = t, y = 12 – 9t, z= -6+ 6t
55. 4x + 2y + 13z = 39
57. O 3x + y+ 7z = 4
59.쁘 3
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL