Shortest Distance Between a Line and a Plane - Linear Algebra

[@jorgerodriguezsilva6364]

you made the most clear drawing of a linear algebra problem I have ever seen, it makes everything so much clearer to be able to understand which line, vector or plane is which, thank you

[@zimufan8550]

the absolute goat tysm

[@callistotv0]

Since we're dealing with a parallel line Vs parallel plane, wouldn't it be easier to choose the position vector of that line and treat the whole problem as if you're dealing with that one specific point? because the distance between the line and the plane will be the same throughout anyways...

[@joesraccoon7507]

Thanks bro you actually saved me

[@jonahansen]

Short answer: almost always 0, unless through a miracle the line is parallel to the plane in which case there is no single "shortest distance".

[@daalium4889]

saved me ong exam in 4 days

[@daveedharb]

Is there no simpler way with out using projection?

[@tristangray-lapara6724]

Savior

[@sk-Muhammadi]

When you want to teach any concept, solve problem for generic values not for specific values.