What is the Normal of a Direction Vector?

[staka]

How may I solve for the normal of a direction vector?

If, for example, the direction vector is (1,2,-2), then what is its normal.

 

[Moo Of Doom]

Any normal vector (x, y, z) satisfies (x, y, z).(1, 2, -2) = 0, so you just have to solve the linear equation x + 2y - 2z = 0.

 

[HallsofIvy]

The plane x+2y- 2z= 0 is normal to that given vector. Any vector in that plane will be normal to the vector.

 

[staka]

Ok. Got it, thanks.