(a) True or False: The only time || + || = |||| is when 7 = 0. (b) A line L passes through the plane x-2y+3z = 3 at the point (1, 2, 2) in a perpendicular direction to the plane. Find an equation for the line L. (c) Is it ever possible that u=ux ? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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Answer all parts please

(a) True or False: The only time || + || = |||| is when 7 = 0.
(b) A line L passes through the plane x-2y+3z = 3 at the point (1, 2, 2) in a perpendicular
direction to the plane. Find an equation for the line L.
(c) Is it ever possible that u 7=ux ? Explain.
tollows
strici order
(d) Describe what the linear transformation determined by the matrix
A=
2
[18]
does to the square with vertices (0,0), (1,0), (0, 1) and (1,1).
(i.e. figure out what it does to each of the vertices, sketch the new vertices, determine
how the area of this new shape compare to the area of the square)
Transcribed Image Text:(a) True or False: The only time || + || = |||| is when 7 = 0. (b) A line L passes through the plane x-2y+3z = 3 at the point (1, 2, 2) in a perpendicular direction to the plane. Find an equation for the line L. (c) Is it ever possible that u 7=ux ? Explain. tollows strici order (d) Describe what the linear transformation determined by the matrix A= 2 [18] does to the square with vertices (0,0), (1,0), (0, 1) and (1,1). (i.e. figure out what it does to each of the vertices, sketch the new vertices, determine how the area of this new shape compare to the area of the square)
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