# Find two vectors?

1. Oct 23, 2013

### Success

1. The problem statement, all variables and given/known data
Find two vectors v and w that are perpendicular to (1, 0, 1) and to each other.

2. Relevant equations
I know that to be perpendicular, the dot product must be 0. So (1, 0, 1)*(x, y, z)=x+z=0 and x=z=0, y=1, therefore, v=[0, 1, 0]. w=[-1, 0, 1].

3. The attempt at a solution
Are my answers right for v and w? Can someone right the answer for me? I just want to see how the answer looks like.

2. Oct 23, 2013

### Zondrina

Looks good.

3. Oct 23, 2013

### Staff: Mentor

It's easy enough to check your answers to see if they're correct.

Is v $\cdot$ <1, 0, 1> = 0?
Is w $\cdot$ <1, 0, 1> = 0?
Is v $\cdot$ w = 0?

4. Oct 23, 2013

### Success

Thank you guys.