(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given a plane [itex]\Pi[/itex] with normal [itex]n=i-2j+k[/itex] and a vector [itex]v=3i+4j-2k[/itex] calculate the projection of [itex]v[/itex] onto [itex]\Pi[/itex] and the reflection of [itex]v[/itex] with respect to [itex]\Pi[/itex].

3. The attempt at a solution

I need to check that I'm doing this is right.

I think I need [itex]v - (v \cdot n)n = 3i+4j-2k - 7(i-2j+k) = -4i +18j-9k[/itex]

And for the refection:

[itex]v - 2(v \cdot n)n = 3i+4j-2k - 14(i-2j+k) = -11i +32j-16k[/itex]

Are those correct?

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# Homework Help: Projection and Reflection of Vector WRT plane

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