Finding Perpendicular Vectors for (1, 0, 1) - Homework Help

[Success]

Homework Statement

Find two vectors v and w that are perpendicular to (1, 0, 1) and to each other.

Homework 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].

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.

 

[STEMucator]

Looks good.

 

[Mark44]

Homework Statement

Find two vectors v and w that are perpendicular to (1, 0, 1) and to each other.

Homework 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].

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.

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?

 

[Success]

Thank you guys.