- #1
GeauxLSU
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Homework Statement
Describe all unit vectors orthogonal to both of the given vectors:
[itex]\vec{a} = 2\vec{i} - 4\vec{j} + 3\vec{k}[/itex]
[itex]\vec{b} = -4\vec{i} + 8\vec{j} - 6\vec{k}[/itex]
Homework Equations
The cross product of two vectors using the determinant, then dividing by the magnitude of the vector solution to find the unit vector
The Attempt at a Solution
Alrighty, so my dumb self didn't recognize that these two vectors were parallel when I started the problem, so I went ahead and did the cross product and got 0, of course.
I also know that the unit vector for the the two vectors is
[itex]\pm 3 \sqrt{3}(\vec{i} - \vec{j} + \vec{k}) [/itex]
So what I need is how to determine what are all the possible vectors orthogonal to those bad boys.
Thanks!