- #1
Microdude
- 2
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As per Astronuc request, i will post this here so it can benifiet other people who may have similar questions.
I have this Linear Algebra assignment to do and i was completely stomped on how to go about to answer this question. I asked Astronuc for help to clarify a bit what was asked to understand it more.
the question goes as follows,
If a>0,b>0,c>0. find the point on the plane x/a+y/b+z/c=1 which is closest to the origin (0,0,0)
i need to justify this using vectorial reasoning.
2. The attempt at a solution
after sending a PM to Astronuc i came across a site which described me something related to my problem. unfortunately i cannot find it anymore i printed out what was written there.
Astronuc replied to me with the following suggestions.
I have this Linear Algebra assignment to do and i was completely stomped on how to go about to answer this question. I asked Astronuc for help to clarify a bit what was asked to understand it more.
Homework Statement
the question goes as follows,
If a>0,b>0,c>0. find the point on the plane x/a+y/b+z/c=1 which is closest to the origin (0,0,0)
i need to justify this using vectorial reasoning.
2. The attempt at a solution
after sending a PM to Astronuc i came across a site which described me something related to my problem. unfortunately i cannot find it anymore i printed out what was written there.
Astronuc replied to me with the following suggestions.
The shortest distance between two points is a straight line. The linear combination of two vectors defines a plane, and the cross product of those two vectors is perpendicular to that plane. So find the vector which is perpendicular to the plane and passes through the origin.