Find the volume of the paralellepiped with one vertex at P (1, 1, 1) and determined by the line segments from (1, 1, 1) to Q1 (1, 2, 3), Q2 (2, 3, 1), and Q3 (3, 1, 2).

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Chapter8: Complex Numbers And Polarcoordinates
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Hi there, I attempted this question on my own, but I got -9 for the area. I know area cannot be negative, so can you please help me with this question? I attached my work and the original question. Thank you so much!

(Tェエ)d
Q2 (2,3,1)
Q 3 (3, 1,2)
PQu=((1-1),(2-1),(3-1))
PQg =(0,1,2)|
PQ23(2-1),(3-1),(1-1))
PQ23(1,2,0)|
ニ
ニ
Pds- (3-1),(ユ-1), (2-1)
Pas=(2,0,1)|
IPQ2•(PQ2×PQ3)|
PQ2XPQ3=|1 j k
i-10
1 2
ニ
○と
○と
201
a(カー0)+(0-)-1(o-2)=
= スi-j-412→(え,-1,-4
|PQz-(PQ2XPQ3)|=0·2)+(ユ-4)+(2-4)
(2-)+(エ-)+0=
|
%3D
Transcribed Image Text:(Tェエ)d Q2 (2,3,1) Q 3 (3, 1,2) PQu=((1-1),(2-1),(3-1)) PQg =(0,1,2)| PQ23(2-1),(3-1),(1-1)) PQ23(1,2,0)| ニ ニ Pds- (3-1),(ユ-1), (2-1) Pas=(2,0,1)| IPQ2•(PQ2×PQ3)| PQ2XPQ3=|1 j k i-10 1 2 ニ ○と ○と 201 a(カー0)+(0-)-1(o-2)= = スi-j-412→(え,-1,-4 |PQz-(PQ2XPQ3)|=0·2)+(ユ-4)+(2-4) (2-)+(エ-)+0= | %3D
Find the volume of the paralellepiped with one vertex at P (1, 1, 1) and determined by the line segments from
(1, 1, 1) to Q1 (1, 2, 3), Q2 (2, 3, 1), and Q3 (3, 1, 2).
Transcribed Image Text:Find the volume of the paralellepiped with one vertex at P (1, 1, 1) and determined by the line segments from (1, 1, 1) to Q1 (1, 2, 3), Q2 (2, 3, 1), and Q3 (3, 1, 2).
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