Plot the following vectors on a two-dimensional coordinate system. By inspection of the plot, which pairs of vectors appear to be orthogonal? Verify numerically that they are orthogonal and that all...

Plot the following vectors on a two-dimensional coordinate system.

By inspection of the plot, which pairs of vectors appear to be orthogonal? Verify numerically that they are orthogonal and that all other pairs in this set are not orthogonal. Explain from the geometry of the plot how you know there is a linear dependency among the three vectors.