Find a vector v with initial point (-3, -4,0) and terminal point (-6, -5, 3). Then find a unit vector in the direction of v. You don't have to make the little arrow things on top of the vectors you can just use the letters i,j,k. Enter your answers in i, j, k format. v = -3i-j+3k 3 3 Unit vector = i 19 19 19

Find a vector v with initial point (-3, -4,0) and terminal point (-6, -5, 3). Then find a unit vector in the direction of v. You don't have to make the little arrow things on top of the vectors you can just use the letters i,j,k. Enter your answers in i, j, k format. v = -3i-j+3k 3 3 Unit vector = i 19 19 19

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 16E

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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.

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