Porisma

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Reflect a line using its fixed intersection and one reflected point

Given l:r=(10,4,2)+λ(9,−1,0)l:\mathbf r=(10,4,2)+\lambda(9,-1,0), λ∈R\lambda\in\mathbb R, and Π:r⋅(3,−1,2)=2\Pi:\mathbf r\cdot(3,-1,2)=2, find

(i) the point of intersection of l and Π\Pi;

(ii) a vector equation of the reflection of l in Π\Pi.

CJC · Discussion · Question 5

The intersection on the reflecting plane stays fixed; reflect one other point to determine the image line.

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