c) Is the point (4,3, 3) on the line (L1) ? Why or why not ? d) Determine the vector equation of the plan (P) passing through the points A(-1,2,5), B(1, 4, 7) and C(2, 5,5).

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 9CC
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part C D

Question 2.
a) Determine the vector and parametric equations of the line (L1) passing through the points
Á(-1, 2,5) and B(1, 4, 7).
b) Determine if the line (L1) (from part (a)) and the line (L2) of equation
[r, y, z] = [2, –5, 3] + t[1, 1, 1]
intersect. Why or why not ?
c) Is the point (4, 3, 3) on the line (L1) ? Why or why not ?
d) Determine the vector equation of the plan (P) passing through the points A(-1,2, 5),
B(1, 4, 7) and C(2, 5, 5).
Transcribed Image Text:Question 2. a) Determine the vector and parametric equations of the line (L1) passing through the points Á(-1, 2,5) and B(1, 4, 7). b) Determine if the line (L1) (from part (a)) and the line (L2) of equation [r, y, z] = [2, –5, 3] + t[1, 1, 1] intersect. Why or why not ? c) Is the point (4, 3, 3) on the line (L1) ? Why or why not ? d) Determine the vector equation of the plan (P) passing through the points A(-1,2, 5), B(1, 4, 7) and C(2, 5, 5).
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