QUESTION 18 Following section 9.5.2, let's calculate the equation of a plane passing through: P1 = (1, 2, 3) P2 = (-4, 5, -6) P3 = (0, 3, 1) According to the book, what is a normal vector to the plane (not necessarily the "unit" vector n-hat)? (Follow their notation) O (1, 2, 3) O (-5, 3, -9) O (4, -2,7) O (3,-1, -2)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.CR: Chapter Review
Problem 49E
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please use the following formula to find the answer.

e3 = P2 - P19
e₁ = P3 - P2₂
ĥ =
e3 x e1
||e3 × e₁||
Transcribed Image Text:e3 = P2 - P19 e₁ = P3 - P2₂ ĥ = e3 x e1 ||e3 × e₁||
QUESTION 18
Following section 9.5.2, let's calculate the equation of a plane passing through:
P1 = (1, 2, 3)
P2 = (-4, 5, -6)
P3 = (0, 3, 1)
According to the book, what is a normal vector to the plane (not necessarily the "unit" vector n-hat)? (Follow their notation)
O (1, 2, 3)
O (-5, 3, -9)
O (4, -2,7)
O (3,-1, -2)
Transcribed Image Text:QUESTION 18 Following section 9.5.2, let's calculate the equation of a plane passing through: P1 = (1, 2, 3) P2 = (-4, 5, -6) P3 = (0, 3, 1) According to the book, what is a normal vector to the plane (not necessarily the "unit" vector n-hat)? (Follow their notation) O (1, 2, 3) O (-5, 3, -9) O (4, -2,7) O (3,-1, -2)
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