Shortest Distance Between a Line and a Plane - Linear Algebra

Let's look at what the shortest distance might be between a line and a plane in R3!

[@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

[@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".

[@sk-Muhammadi]

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

[@daveedharb]

Is there no simpler way with out using projection?

[@tristangray-lapara6724]

Savior