Regarding the problem:

Show that for any vectors [TEX]\vec{a}[/TEX], [TEX]\vec{b}\in{R^3}[/TEX],

[TEX]\vec{u} = |\vec{b}|\vec{a} + |\vec{a}|\vec{b}[/TEX] and [TEX]\vec{v} = |\vec{b}|\vec{a} - |\vec{a}|\vec{b}[/TEX]

are perpendicular

I'm not exactly sure where to begin with this problem. I think maybe taking the dot product of u and v but I'm not sure.

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