[10] (3) Consider the triangle, A ABC, in R³, given that the three vertices are = B с = GIVEN: S is the area of A ABC, FIND: S = (-1,2,0) (1,0,1) (0,1,-2)
[10] (3) Consider the triangle, A ABC, in R³, given that the three vertices are = B с = GIVEN: S is the area of A ABC, FIND: S = (-1,2,0) (1,0,1) (0,1,-2)
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] (3) Consider the triangle, A ABC, in R³,
given that the three vertices are
=
B
с =
GIVEN: S is the area of A ABC,
FIND: S
=
(-1,2,0)
(1,0,1)
(0,1,-2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47125591-3740-4542-96e4-f2c82d184833%2F21a5e3a4-eefc-4d1b-8c39-09005be851d3%2Fcw8bfdm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[10] (3) Consider the triangle, A ABC, in R³,
given that the three vertices are
=
B
с =
GIVEN: S is the area of A ABC,
FIND: S
=
(-1,2,0)
(1,0,1)
(0,1,-2)
![[10] (3) Consider the triangle, A ABC, in R³
A = (1,0,1)
given that the three vertices are B (1, -2,1)
с
(1,1,-2)
Determine the area, S, of A ABC.
S = A(DABC)
= 1/2/2/² || ² × 51
= 1/1/12 (6)
= 3
=
6₂
à = (0,-2, 0)
b= (0,1,-3)
⇒→â× b = |
î
13
%
1
(6,-(0), 0)
Always
search for the
simplest
pathway
towards the
solution.
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47125591-3740-4542-96e4-f2c82d184833%2F21a5e3a4-eefc-4d1b-8c39-09005be851d3%2Fuvqv7n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[10] (3) Consider the triangle, A ABC, in R³
A = (1,0,1)
given that the three vertices are B (1, -2,1)
с
(1,1,-2)
Determine the area, S, of A ABC.
S = A(DABC)
= 1/2/2/² || ² × 51
= 1/1/12 (6)
= 3
=
6₂
à = (0,-2, 0)
b= (0,1,-3)
⇒→â× b = |
î
13
%
1
(6,-(0), 0)
Always
search for the
simplest
pathway
towards the
solution.
B
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