Using quaternions, you want to rotate the point P (x, y, z) = (1,1,0) 90 degrees around the y-axis, i.e. to the point (0, 1, -1). a. b. C. Compute the quaternion that represents the rotation. Show all Show any starting formula and derive work the quaternion. work operations Compute the inverse of the quaternion in part a. Show all . You must show all formulas (especially on quaternions) needed to compute this Calculate qPq¹ (where q is the quaternion you computed in part a,) to verify your answers in parts a and b. Show all work You must show all formulas (e.g. quaternion multiplication) needed to compute this

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 40E
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Please help me with this and show all work so I can understand

Using quaternions, you want to rotate the point P (x, y, z) = (1,1,0) 90
degrees around the y-axis, i.e. to the point (0, 1, -1).
a.
b.
C.
Compute the quaternion that represents the rotation. Show all
Show any starting formula and derive
work
the quaternion.
work
operations
Compute the inverse of the quaternion in part a. Show all
. You must show all formulas (especially
on quaternions) needed to compute this
Calculate qPq¹ (where q is the quaternion you computed in
part a,) to verify your answers in parts a and b. Show all work
You must show all formulas (e.g. quaternion
multiplication) needed to compute this
Transcribed Image Text:Using quaternions, you want to rotate the point P (x, y, z) = (1,1,0) 90 degrees around the y-axis, i.e. to the point (0, 1, -1). a. b. C. Compute the quaternion that represents the rotation. Show all Show any starting formula and derive work the quaternion. work operations Compute the inverse of the quaternion in part a. Show all . You must show all formulas (especially on quaternions) needed to compute this Calculate qPq¹ (where q is the quaternion you computed in part a,) to verify your answers in parts a and b. Show all work You must show all formulas (e.g. quaternion multiplication) needed to compute this
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