Find the reflection of (3,3,3) in the plane ~x + ~y + tz = 1. Take three steps T _ M T +

Chapter 8, Problem 15

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Find the reflection of (3,3,3) in the plane ~x + ~y + tz = 1. Take three steps T _ M T + using 4 by 4 matrices: translate by T _ so the plane goes through the origin, reflect the translated point (3, 3, 3, l)T_ in that plane, then translate back by T+.

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