Let's create a matrix that reflects around a line that is perpendicular to the vector n = [0.375, 0.927] in 2D. For this transformation, can this vector n also be n-hat? O Yes, since n is a unit vector No, since n is not a unit vector No, since n-hat needs to be in the diection of the line and not perpendicular No, since it is impossible to do reflection around this line in 2D.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.
For this transformation, can this vector n also be n-hat?
O Yes, since n is a unit vector
No, since n is not a unit vector
No, since n-hat needs to be in the diection of the line and not perpendicular
O No, since it is impossible to do reflection around this line in 2D.
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. For this transformation, can this vector n also be n-hat? O Yes, since n is a unit vector No, since n is not a unit vector No, since n-hat needs to be in the diection of the line and not perpendicular O No, since it is impossible to do reflection around this line in 2D.
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