Consider the regular tetrahedron sketched below, whose center is at the origin.Let T
Chapter 2, Problem 80(choose chapter or problem)
Consider the regular tetrahedron sketched below, whose center is at the origin.Let T from R3 to R3 be the rotation about the axis through the points 0 and P2 that transforms Pi into Find the images of the four comers of the tetrahedrat under this transformation.Po-^ P\ P3 Pi ^ PiLet L from R3 to R3 be the reflection about the plane through the points 0, Po* and P3. Find the images of the four comers of the tetrahedron under this transformatioaPo-^ P\ - P i ^ Pi ^Describe the transformations in parts (a) through (c) geometrically, a. T~l b. L-1 c. T2 = T o T (the composite of T with itself) d. Find the i mages of the four comers under the transformations ToL and LoT. Are the two transformation the same?^0ToLPoLoTP\ P\ Pi -> Pi - P3 P 3 - e. Find the images of the four comers under the traafr formation L o T o L. Describe this transform*!** geometrically.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer