Let's create a matrix that reflects around a line that is perpendicular to the vector n = [0.375, 0.927] in 2D, this line passes though the orig Without computing the matrix, we can gather some info about this transformation. 1. In a piece of paper, draw this vector n with its tail on the origin. 2. Draw a line that is perpendicular to this vector and it goes through the origin. What can you say about the SLOPE of the line (of reflection)? O Slope is positive O Slope is negative O Slope is zero O Line is vertical

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 5P
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Let's create a matrix that reflects around a line that is perpendicular to the vector n = [0.375, 0.927] in 2D, this line passes though the origin.
Without computing the matrix, we can gather some info about this transformation.
1. In a piece of paper, draw this vector n with its tail on the origin.
2. Draw a line that is perpendicular to this vector and it goes through the origin.
What can you say about the SLOPE of the line (of reflection)?
O Slope is positive
O Slope is negative
O Slope is zero
O Line is vertical
Transcribed Image Text:Let's create a matrix that reflects around a line that is perpendicular to the vector n = [0.375, 0.927] in 2D, this line passes though the origin. Without computing the matrix, we can gather some info about this transformation. 1. In a piece of paper, draw this vector n with its tail on the origin. 2. Draw a line that is perpendicular to this vector and it goes through the origin. What can you say about the SLOPE of the line (of reflection)? O Slope is positive O Slope is negative O Slope is zero O Line is vertical
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