를 Input A Back Style Alignment 100% Fonts WOLFRAM MATHEMATICA STUDENT EDITION Magnifia 2, 1 3, .L 13. FInd the distance between P(1, 2, 1) and Q(- 2, 1, 3). Demonstrations 1 MathWorld 1 Wolfram 10 1 11. L 12. 13 14 L In Problems 14 through 17, write the equation of each sphere and draw its graph. 14. The endpoints of a diameter are (-2, 0, 4) and (2, 6, 8). 15. The center is at (-3, 2, 1), and the sphere passes through the point (4, -1, 3). In[64]== Clear [a, b, c] a = {-3, 2, 1} b = (4, -1, 3} Out[65)= {-3, 2, 1} Outf66)= (4, -1, 3} (a + b) / 2 In[67]= cntr = Out(67]= {z•?} %2: more... delete duplicates max total mean In Exercises 18 through 20, find the radius and center of each sphere and draw the graph. (Do it on paper, then type the answer here. Mathematica has no simple function that can do the job.) 18. x² + y² +z? +2y-2z = 2 19. x² + y? +z? +4x -4 y+2z = 0 20.3x² +3 y +3z² +6x-y-3=0 11.3 Dot Product Exercises %3D Exercises 1 through 3 are based on the vectors a = (1, 1, –2), b = (3, –2, 1), and c= (0, 1, –5). 1. Find the dot product of a and b and the dot product of b and c. 2. Find the angle between a and b and the angle between a and c. MacBook Air
를 Input A Back Style Alignment 100% Fonts WOLFRAM MATHEMATICA STUDENT EDITION Magnifia 2, 1 3, .L 13. FInd the distance between P(1, 2, 1) and Q(- 2, 1, 3). Demonstrations 1 MathWorld 1 Wolfram 10 1 11. L 12. 13 14 L In Problems 14 through 17, write the equation of each sphere and draw its graph. 14. The endpoints of a diameter are (-2, 0, 4) and (2, 6, 8). 15. The center is at (-3, 2, 1), and the sphere passes through the point (4, -1, 3). In[64]== Clear [a, b, c] a = {-3, 2, 1} b = (4, -1, 3} Out[65)= {-3, 2, 1} Outf66)= (4, -1, 3} (a + b) / 2 In[67]= cntr = Out(67]= {z•?} %2: more... delete duplicates max total mean In Exercises 18 through 20, find the radius and center of each sphere and draw the graph. (Do it on paper, then type the answer here. Mathematica has no simple function that can do the job.) 18. x² + y² +z? +2y-2z = 2 19. x² + y? +z? +4x -4 y+2z = 0 20.3x² +3 y +3z² +6x-y-3=0 11.3 Dot Product Exercises %3D Exercises 1 through 3 are based on the vectors a = (1, 1, –2), b = (3, –2, 1), and c= (0, 1, –5). 1. Find the dot product of a and b and the dot product of b and c. 2. Find the angle between a and b and the angle between a and c. MacBook Air
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
Problem 69PS
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Question
Find the radius and center of each sphere
18.) x^2+y^2+z^2+2y-2z=2
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Input
A
Back
Style
Alignment
100%
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WOLFRAM MATHEMATICA STUDENT EDITION
Magnifia
2, 1 3, .L
13. FInd the distance between P(1, 2, 1) and Q(- 2, 1, 3).
Demonstrations 1 MathWorld 1 Wolfram
10 1
11. L
12.
13
14
L
In Problems 14 through 17, write the equation of each sphere and draw its graph.
14. The endpoints of a diameter are (-2, 0, 4) and (2, 6, 8).
15. The center is at (-3, 2, 1), and the sphere passes through the point (4, -1, 3).
In[64]== Clear [a, b, c]
a = {-3, 2, 1}
b = (4, -1, 3}
Out[65)= {-3, 2, 1}
Outf66)= (4, -1, 3}
(a + b) / 2
In[67]= cntr =
Out(67]=
{z•?}
%2:
more...
delete duplicates
max
total
mean
In Exercises 18 through 20, find the radius and center of each sphere and draw the graph. (Do it on paper, then type the answer here. Mathematica has no simple function that can do the job.)
18. x² + y² +z? +2y-2z = 2
19. x² + y? +z? +4x -4 y+2z = 0
20.3x² +3 y +3z² +6x-y-3=0
11.3 Dot Product
Exercises
%3D
Exercises 1 through 3 are based on the vectors a = (1, 1, –2), b = (3, –2, 1), and c= (0, 1, –5).
1. Find the dot product of a and b and the dot product of b and c.
2. Find the angle between a and b and the angle between a and c.
MacBook Air](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1308c18-827c-41a1-b2ec-8a88ef0ba574%2Ff2ca9533-c9db-4bce-b1f7-f3660eac7f0a%2F1l3klxg.jpeg&w=3840&q=75)
Transcribed Image Text:를
Input
A
Back
Style
Alignment
100%
Fonts
WOLFRAM MATHEMATICA STUDENT EDITION
Magnifia
2, 1 3, .L
13. FInd the distance between P(1, 2, 1) and Q(- 2, 1, 3).
Demonstrations 1 MathWorld 1 Wolfram
10 1
11. L
12.
13
14
L
In Problems 14 through 17, write the equation of each sphere and draw its graph.
14. The endpoints of a diameter are (-2, 0, 4) and (2, 6, 8).
15. The center is at (-3, 2, 1), and the sphere passes through the point (4, -1, 3).
In[64]== Clear [a, b, c]
a = {-3, 2, 1}
b = (4, -1, 3}
Out[65)= {-3, 2, 1}
Outf66)= (4, -1, 3}
(a + b) / 2
In[67]= cntr =
Out(67]=
{z•?}
%2:
more...
delete duplicates
max
total
mean
In Exercises 18 through 20, find the radius and center of each sphere and draw the graph. (Do it on paper, then type the answer here. Mathematica has no simple function that can do the job.)
18. x² + y² +z? +2y-2z = 2
19. x² + y? +z? +4x -4 y+2z = 0
20.3x² +3 y +3z² +6x-y-3=0
11.3 Dot Product
Exercises
%3D
Exercises 1 through 3 are based on the vectors a = (1, 1, –2), b = (3, –2, 1), and c= (0, 1, –5).
1. Find the dot product of a and b and the dot product of b and c.
2. Find the angle between a and b and the angle between a and c.
MacBook Air
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