The equation of line vector L1, is in R^3, and L1=k+ Determine algebraically the scalar equation of a plane in R^3 that does NOT intersect this line.

Question

The equation of line vector L1, is in R^3, and L1=<-3,5,7>k+<1,-2,0> Determine algebraically the scalar equation of a plane in R^3 that does NOT intersect this line.

turingtest · Answer

create another line vector that has one component the same as the other, then find their cross product

that will be the normal vector to the plane you want
to make sure it doesn't contain the other two vectors change the point <1,-2,0> to any constant multiple of that point

anonymous · Answer

I'm not very familiar with how to use the cross product... We talked about it briefly in class but I don't remember much about it

turingtest · Answer

I'm about to go to sleep, so I'm just going to have to give you a link, sorry...

turingtest · Answer

http://tutorial.math.lamar.edu/Classes/CalcII/CrossProduct.aspx http://tutorial.math.lamar.edu/Classes/CalcIII/EqnsOfPlanes.aspx Normally I would help more hands-on but I'm going to bed G'night!

anonymous · Answer

lol okay thanks for the links!

turingtest · Answer

welcome!

anonymous · Answer

Give it up for pauls notes! They are a life saver.