he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point C(5,3,-4) is in the same plane as the points B, and Po. Find possible values for the point P, for the given parameters in the chart. Po(Xo.Yo, Zo) 1 1

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter9: Vectors In Two And Three Dimensions
Section9.CR: Chapter Review
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The points A(1,-2, 4) and B(2,-4, 1) each make direction vectors with the point
Po(Xo, Yo, Zo). The point C(5,3,-4) is in the same plane as the points
A, B, and Po.
a)
Find possible values for the point Po for the given parameters in the chart.
Po(xo, Yo, Zo)
1
1
-1
-1
b) This question is to be considered as optional.
If you use the points A, B, and C to find the direction vectors and then use
the values for Po that you calculated in the first line in the chart above as any
point of the plane (i.e., P, becomes P), what happens to the parameters t
and s and why (what does it mean?).
Transcribed Image Text:The points A(1,-2, 4) and B(2,-4, 1) each make direction vectors with the point Po(Xo, Yo, Zo). The point C(5,3,-4) is in the same plane as the points A, B, and Po. a) Find possible values for the point Po for the given parameters in the chart. Po(xo, Yo, Zo) 1 1 -1 -1 b) This question is to be considered as optional. If you use the points A, B, and C to find the direction vectors and then use the values for Po that you calculated in the first line in the chart above as any point of the plane (i.e., P, becomes P), what happens to the parameters t and s and why (what does it mean?).
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