Vector Perpendicular to Two Other Vectors

[mhz]

Homework Statement

There are two known vectors (you can make up any two, the question gives them but I don't know what they were) and I need to find a vector that is perpendicular to both of them.

Homework Equations

Dot Product

The Attempt at a Solution

Getting two equations with three variables each for the dot product equal to zero.

 

[Fightfish]

You need to go back to your study of vectors more closely.
Besides "dot product", there is another kind of product, the "cross product". I suggest you look it up. If you still have any queries pertaining to it, then feel free to come back here.

 

[mhz]

Sorry I failed to mention that I can only use the Dot product to answer this. With the cross product it wouldn't take much effort at all to answer this question, the trick I'm having trouble with is doing it with the dot product.