[10] (5) = GIVEN: The three points B C FIND: The equation of the plane, = = (0,1,2) (1,-1,1) (3,0,1) , such that A, B, C = Q.
[10] (5) = GIVEN: The three points B C FIND: The equation of the plane, = = (0,1,2) (1,-1,1) (3,0,1) , such that A, B, C = Q.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 21E
Related questions
Question
Please please do calculations similar to the second image attached
![[10] (5)
A =
(1,1,2)
GIVEN: The three points
B = (1,- 2,1)
C = (3,0,1)
FIND: The equation of the plane, Q, such that A, B, C = Q.
METHOD:
ñ = a normal to D
⇒ = a × bo
ñ
a = AB
6 = AC
à x b
X
=
=
x
A
(0, -3, -1)
(², -1, -1)
IN
6
PL
PRACTICE
ܩܝ
B
"We are determined by
custom alone to
suppose the future
conformable to the
past."
-David Hume
(1739)
-1
2 -1 -1
(2,-(2), 6) = 2(1,-1, 3)
(1,-1,3)
Une normal =
Hence, №: x-1-(y−1) + 3 (z− 2) = 0
y + 3z6=0
N÷z-g+32-6
( CHECK: AEM, BEN, CED)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47125591-3740-4542-96e4-f2c82d184833%2Ffc6db3f7-e62b-4ce8-8e4a-0513c7ba56f4%2Fh5dgpbl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[10] (5)
A =
(1,1,2)
GIVEN: The three points
B = (1,- 2,1)
C = (3,0,1)
FIND: The equation of the plane, Q, such that A, B, C = Q.
METHOD:
ñ = a normal to D
⇒ = a × bo
ñ
a = AB
6 = AC
à x b
X
=
=
x
A
(0, -3, -1)
(², -1, -1)
IN
6
PL
PRACTICE
ܩܝ
B
"We are determined by
custom alone to
suppose the future
conformable to the
past."
-David Hume
(1739)
-1
2 -1 -1
(2,-(2), 6) = 2(1,-1, 3)
(1,-1,3)
Une normal =
Hence, №: x-1-(y−1) + 3 (z− 2) = 0
y + 3z6=0
N÷z-g+32-6
( CHECK: AEM, BEN, CED)
![[10] (5)
-
GIVEN: The three points
B
C
FIND: The equation of the plane,
=
=
(0,1,2)
(1,-1,1)
(3,0,1)
, such that A, B, C = Q.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47125591-3740-4542-96e4-f2c82d184833%2Ffc6db3f7-e62b-4ce8-8e4a-0513c7ba56f4%2F3rwfzxm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[10] (5)
-
GIVEN: The three points
B
C
FIND: The equation of the plane,
=
=
(0,1,2)
(1,-1,1)
(3,0,1)
, such that A, B, C = Q.
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