[10] (4) GIVEN: The plane, 2 CR³, 2: 2x + 3y + z = 5 and the point, P E R³, P = (1,3,2) FIND: The distance from P to , d(P, Q).
[10] (4) GIVEN: The plane, 2 CR³, 2: 2x + 3y + z = 5 and the point, P E R³, P = (1,3,2) FIND: The distance from P to , d(P, Q).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 1E
Related questions
Question
use the first image attached as reference/ example to do the calculations for the second image attached
![[10] (4) GIVEN: The plane, 2 CR³, 2: 2x + 3y + z = 5
and the point, P = R³, P = (1,3,2)
FIND: The distance from P to 2, d(P, Q).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47125591-3740-4542-96e4-f2c82d184833%2Ffa123664-15ef-4a66-9e79-31b656c88bed%2Fd61hv9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[10] (4) GIVEN: The plane, 2 CR³, 2: 2x + 3y + z = 5
and the point, P = R³, P = (1,3,2)
FIND: The distance from P to 2, d(P, Q).
![[10] (4)
GIVEN: The plane, QC R³ Q: 2x+y+ 2z = 5
and the point, P E R³, P = (1,3,2)
FIND: The distance from P to 2, d(P, Q).
METHOD:
LET: A = (0,5,0) E Q
.. a = AP = (1,-2,2)
and = (2,1,2)
=
& (P,Q) = || PROJ^||
= |ª-7² ^|| =
亢
=
=
P
↑& (PN)
a Aimar
मह
= a normed to d
[ã•ঈ\
||||
|2-2 +41
√4+1+4.
3
PRACTICE
|à = n |
||||²
Learn the
whole idea,
not just the
formula. The
formula is just
an example of
the idea.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47125591-3740-4542-96e4-f2c82d184833%2Ffa123664-15ef-4a66-9e79-31b656c88bed%2Fp159zp9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[10] (4)
GIVEN: The plane, QC R³ Q: 2x+y+ 2z = 5
and the point, P E R³, P = (1,3,2)
FIND: The distance from P to 2, d(P, Q).
METHOD:
LET: A = (0,5,0) E Q
.. a = AP = (1,-2,2)
and = (2,1,2)
=
& (P,Q) = || PROJ^||
= |ª-7² ^|| =
亢
=
=
P
↑& (PN)
a Aimar
मह
= a normed to d
[ã•ঈ\
||||
|2-2 +41
√4+1+4.
3
PRACTICE
|à = n |
||||²
Learn the
whole idea,
not just the
formula. The
formula is just
an example of
the idea.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Elementary Algebra](https://www.bartleby.com/isbn_cover_images/9780998625713/9780998625713_smallCoverImage.jpg)
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University