[10] (3) Consider the triangle, A ABC, in R³, A B C given that the three vertices are 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
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Please please for the second image attached please do the calculations similar to the first 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)
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
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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