[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).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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