The plane V is described by the equation (....) Find a vector equation for V.

[ValentijnG]

Hello,


I had a 4 hour lesson about vectors in R2 and R3, it was pretty heavy and in the end my concentration fell away.
So I can't seem to find the solution, or how to start on 1 question. I cant find it in the notes that my professor made, have been searching for an hour now and its not getting clearer.

The problem is:


The plane V is described by the equation [FONT=MathJax_Main](−[FONT=MathJax_Main]207[/FONT][FONT=MathJax_Main])[/FONT][/FONT][FONT=MathJax_Main]⋅[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Main]36[/FONT][FONT=MathJax_Main]⋅[/FONT][FONT=MathJax_Math-italic]y[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Main]13[/FONT][FONT=MathJax_Main]⋅[/FONT][FONT=MathJax_Math-italic]z[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]1[/FONT] Find a vector equation for V.

Can someone explain the Technique? I know about the Crossproduct and more, but not how to implement it.


Thanks in Advance

 

[tkhunny]

1) How many points determine a unique plane?
2) What do you know about the Cross Product?