6) The angle between any pair of lines in Cartesian form is also the anglebetween their normal vectors. For the lines, x-3y+6=0 and x+2y-7=0determine the acute and obtuse angles between these two lines.

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Answered: 6) The angle between any pair of lines…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 9T

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We mentioned in Section 7.5 that our algebraic treatment of vectors could be attributed, in part, to the Irish mathematician William Rowan Hamilton. Hamilton considered his greatest achievement to be the discovery of qualernions, which he (incorrectly) predicted would revolutionize physics. Research the subject of quaternions. What are they? Why did quaternions fail to be as useful for physics as Hamilton predicted? How are quaternions useful, instead, for 3.D computer graphics? Write a paragraph or two about your findings.
Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)

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6) The angle between any pair of lines in Cartesian form is also the angle between their normal vectors. For the lines, x-3y+6=0 _and x+2y-7=0 determine the acute and obtuse angles between these two lines.