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I need step by step help on how to find some vectors that are perpendicular even though I believed there is an infinite number of

I need step by step help on how to find some vectors that are perpendicular even though I believed there is an infinite number of them. I would like to understand how to find the unit vectors which are perpendicular to (1,2,3). Additionally, can you please draw a picture that illustrated the findings?

How many unit vectors in R3 are perpendicular to (1,2,3)?

Additionally, can you please draw a picture that illustrated the findings?

thank you so much for your help and support.

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