The problem involves finding two vectors v and w that are perpendicular to the vector (1, 0, 1) and also perpendicular to each other. The context is within vector mathematics, specifically focusing on the properties of dot products and orthogonality.
The discussion includes attempts to verify the proposed vectors against the conditions of the problem. While some participants express confidence in the answers, there is no explicit consensus on the correctness of the vectors provided.
Participants are operating under the assumption that the dot product is the primary method for determining perpendicularity. There is a request for clarification on the answers without providing a definitive solution.
It's easy enough to check your answers to see if they're correct.Success said: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.